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Finding the Fourth Proportional to 97,226, 134,157.30 and 54,783.62

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Solution

The fourth proportional to 97,226, 134,157.30 and 54,783.62 is: 75,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,226 : 134,157.30 = 54,783.62 : x
  2. Step 2: Convert to fraction form
    97,226/134,157.30 = 54,783.62/x
  3. Step 3: Cross multiply
    97,226x = 134,157.30 × 54,783.62
  4. Step 4: Simplify right side
    97,226x = 7,349,622,543.43
  5. Step 5: Solve for x
    x = 7,349,622,543.43/97,226
  6. Step 6: Final answer
    x = 75,593.18

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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.