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Finding the Fourth Proportional to 97,210.52, 134,151.88 and 54,188.78

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Solution

The fourth proportional to 97,210.52, 134,151.88 and 54,188.78 is: 74,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210.52 : 134,151.88 = 54,188.78 : x
  2. Step 2: Convert to fraction form
    97,210.52/134,151.88 = 54,188.78/x
  3. Step 3: Cross multiply
    97,210.52x = 134,151.88 × 54,188.78
  4. Step 4: Simplify right side
    97,210.52x = 7,269,526,711.91
  5. Step 5: Solve for x
    x = 7,269,526,711.91/97,210.52
  6. Step 6: Final answer
    x = 74,781.28

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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.