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Finding the Fourth Proportional to 208,128.59, 287,217.45 and 112,635.98

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Solution

The fourth proportional to 208,128.59, 287,217.45 and 112,635.98 is: 155,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128.59 : 287,217.45 = 112,635.98 : x
  2. Step 2: Convert to fraction form
    208,128.59/287,217.45 = 112,635.98/x
  3. Step 3: Cross multiply
    208,128.59x = 287,217.45 × 112,635.98
  4. Step 4: Simplify right side
    208,128.59x = 32,351,017,517.76
  5. Step 5: Solve for x
    x = 32,351,017,517.76/208,128.59
  6. Step 6: Final answer
    x = 155,437.65

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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.