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Finding the Fourth Proportional to 208,117.57, 287,202.97 and 112,624.24

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Solution

The fourth proportional to 208,117.57, 287,202.97 and 112,624.24 is: 155,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.57 : 287,202.97 = 112,624.24 : x
  2. Step 2: Convert to fraction form
    208,117.57/287,202.97 = 112,624.24/x
  3. Step 3: Cross multiply
    208,117.57x = 287,202.97 × 112,624.24
  4. Step 4: Simplify right side
    208,117.57x = 32,346,016,221.99
  5. Step 5: Solve for x
    x = 32,346,016,221.99/208,117.57
  6. Step 6: Final answer
    x = 155,421.84

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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.