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Finding the Fourth Proportional to 208,117.50, 287,202.16 and 112,624.20

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Solution

The fourth proportional to 208,117.50, 287,202.16 and 112,624.20 is: 155,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,117.50 : 287,202.16 = 112,624.20 : x
  2. Step 2: Convert to fraction form
    208,117.50/287,202.16 = 112,624.20/x
  3. Step 3: Cross multiply
    208,117.50x = 287,202.16 × 112,624.20
  4. Step 4: Simplify right side
    208,117.50x = 32,345,913,508.27
  5. Step 5: Solve for x
    x = 32,345,913,508.27/208,117.50
  6. Step 6: Final answer
    x = 155,421.40

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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.