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Finding the Fourth Proportional to 208,129.50, 287,218.17 and 112,636.17

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Solution

The fourth proportional to 208,129.50, 287,218.17 and 112,636.17 is: 155,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.50 : 287,218.17 = 112,636.17 : x
  2. Step 2: Convert to fraction form
    208,129.50/287,218.17 = 112,636.17/x
  3. Step 3: Cross multiply
    208,129.50x = 287,218.17 × 112,636.17
  4. Step 4: Simplify right side
    208,129.50x = 32,351,154,623.21
  5. Step 5: Solve for x
    x = 32,351,154,623.21/208,129.50
  6. Step 6: Final answer
    x = 155,437.62

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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.