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Finding the Fourth Proportional to 208,055.46, 287,116.54 and 112,562.16

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Solution

The fourth proportional to 208,055.46, 287,116.54 and 112,562.16 is: 155,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.46 : 287,116.54 = 112,562.16 : x
  2. Step 2: Convert to fraction form
    208,055.46/287,116.54 = 112,562.16/x
  3. Step 3: Cross multiply
    208,055.46x = 287,116.54 × 112,562.16
  4. Step 4: Simplify right side
    208,055.46x = 32,318,456,397.74
  5. Step 5: Solve for x
    x = 32,318,456,397.74/208,055.46
  6. Step 6: Final answer
    x = 155,335.78

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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.