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Finding the Fourth Proportional to 97,266.96, 134,217 and 54,822.96

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Solution

The fourth proportional to 97,266.96, 134,217 and 54,822.96 is: 75,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266.96 : 134,217 = 54,822.96 : x
  2. Step 2: Convert to fraction form
    97,266.96/134,217 = 54,822.96/x
  3. Step 3: Cross multiply
    97,266.96x = 134,217 × 54,822.96
  4. Step 4: Simplify right side
    97,266.96x = 7,358,173,222.32
  5. Step 5: Solve for x
    x = 7,358,173,222.32/97,266.96
  6. Step 6: Final answer
    x = 75,649.26

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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.