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Finding the Fourth Proportional to 97,814.76, 134,985.06 and 53,102.76

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Solution

The fourth proportional to 97,814.76, 134,985.06 and 53,102.76 is: 73,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.76 : 134,985.06 = 53,102.76 : x
  2. Step 2: Convert to fraction form
    97,814.76/134,985.06 = 53,102.76/x
  3. Step 3: Cross multiply
    97,814.76x = 134,985.06 × 53,102.76
  4. Step 4: Simplify right side
    97,814.76x = 7,168,079,244.77
  5. Step 5: Solve for x
    x = 7,168,079,244.77/97,814.76
  6. Step 6: Final answer
    x = 73,282.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.