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Finding the Fourth Proportional to 185,962.40, 256,751.69 and 142,865.13

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Solution

The fourth proportional to 185,962.40, 256,751.69 and 142,865.13 is: 197,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,962.40 : 256,751.69 = 142,865.13 : x
  2. Step 2: Convert to fraction form
    185,962.40/256,751.69 = 142,865.13/x
  3. Step 3: Cross multiply
    185,962.40x = 256,751.69 × 142,865.13
  4. Step 4: Simplify right side
    185,962.40x = 36,680,862,855.24
  5. Step 5: Solve for x
    x = 36,680,862,855.24/185,962.40
  6. Step 6: Final answer
    x = 197,248.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.