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Finding the Fourth Proportional to 137,037.97, 205,592.33 and 42,266.02

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Solution

The fourth proportional to 137,037.97, 205,592.33 and 42,266.02 is: 63,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037.97 : 205,592.33 = 42,266.02 : x
  2. Step 2: Convert to fraction form
    137,037.97/205,592.33 = 42,266.02/x
  3. Step 3: Cross multiply
    137,037.97x = 205,592.33 × 42,266.02
  4. Step 4: Simplify right side
    137,037.97x = 8,689,569,531.63
  5. Step 5: Solve for x
    x = 8,689,569,531.63/137,037.97
  6. Step 6: Final answer
    x = 63,409.94

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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.