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Finding the Fourth Proportional to 109,047.20, 150,472.08 and 61,294.24

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Solution

The fourth proportional to 109,047.20, 150,472.08 and 61,294.24 is: 84,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,047.20 : 150,472.08 = 61,294.24 : x
  2. Step 2: Convert to fraction form
    109,047.20/150,472.08 = 61,294.24/x
  3. Step 3: Cross multiply
    109,047.20x = 150,472.08 × 61,294.24
  4. Step 4: Simplify right side
    109,047.20x = 9,223,071,784.82
  5. Step 5: Solve for x
    x = 9,223,071,784.82/109,047.20
  6. Step 6: Final answer
    x = 84,578.71

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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.