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Finding the Fourth Proportional to 208,207.14, 287,326.47 and 112,713.60

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Solution

The fourth proportional to 208,207.14, 287,326.47 and 112,713.60 is: 155,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,207.14 : 287,326.47 = 112,713.60 : x
  2. Step 2: Convert to fraction form
    208,207.14/287,326.47 = 112,713.60/x
  3. Step 3: Cross multiply
    208,207.14x = 287,326.47 × 112,713.60
  4. Step 4: Simplify right side
    208,207.14x = 32,385,600,808.99
  5. Step 5: Solve for x
    x = 32,385,600,808.99/208,207.14
  6. Step 6: Final answer
    x = 155,545.10

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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.