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Finding the Fourth Proportional to 208,355.43, 287,530.53 and 112,862.13

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Solution

The fourth proportional to 208,355.43, 287,530.53 and 112,862.13 is: 155,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,355.43 : 287,530.53 = 112,862.13 : x
  2. Step 2: Convert to fraction form
    208,355.43/287,530.53 = 112,862.13/x
  3. Step 3: Cross multiply
    208,355.43x = 287,530.53 × 112,862.13
  4. Step 4: Simplify right side
    208,355.43x = 32,451,307,398.93
  5. Step 5: Solve for x
    x = 32,451,307,398.93/208,355.43
  6. Step 6: Final answer
    x = 155,749.75

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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.