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Finding the Fourth Proportional to 208,429.80, 287,631.90 and 117,815.10

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Solution

The fourth proportional to 208,429.80, 287,631.90 and 117,815.10 is: 162,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,429.80 : 287,631.90 = 117,815.10 : x
  2. Step 2: Convert to fraction form
    208,429.80/287,631.90 = 117,815.10/x
  3. Step 3: Cross multiply
    208,429.80x = 287,631.90 × 117,815.10
  4. Step 4: Simplify right side
    208,429.80x = 33,887,381,061.69
  5. Step 5: Solve for x
    x = 33,887,381,061.69/208,429.80
  6. Step 6: Final answer
    x = 162,584.15

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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.