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Finding the Fourth Proportional to 145,063.50, 217,712.25 and 74,962.86

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Solution

The fourth proportional to 145,063.50, 217,712.25 and 74,962.86 is: 112,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,063.50 : 217,712.25 = 74,962.86 : x
  2. Step 2: Convert to fraction form
    145,063.50/217,712.25 = 74,962.86/x
  3. Step 3: Cross multiply
    145,063.50x = 217,712.25 × 74,962.86
  4. Step 4: Simplify right side
    145,063.50x = 16,320,332,917.04
  5. Step 5: Solve for x
    x = 16,320,332,917.04/145,063.50
  6. Step 6: Final answer
    x = 112,504.75

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