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Finding the Fourth Proportional to 149,813.92, 224,753.28 and 44,641.36

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Solution

The fourth proportional to 149,813.92, 224,753.28 and 44,641.36 is: 66,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,813.92 : 224,753.28 = 44,641.36 : x
  2. Step 2: Convert to fraction form
    149,813.92/224,753.28 = 44,641.36/x
  3. Step 3: Cross multiply
    149,813.92x = 224,753.28 × 44,641.36
  4. Step 4: Simplify right side
    149,813.92x = 10,033,292,083.66
  5. Step 5: Solve for x
    x = 10,033,292,083.66/149,813.92
  6. Step 6: Final answer
    x = 66,971.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.