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Finding the Fourth Proportional to 208,218.40, 287,337.96 and 112,724.32

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Solution

The fourth proportional to 208,218.40, 287,337.96 and 112,724.32 is: 155,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,218.40 : 287,337.96 = 112,724.32 : x
  2. Step 2: Convert to fraction form
    208,218.40/287,337.96 = 112,724.32/x
  3. Step 3: Cross multiply
    208,218.40x = 287,337.96 × 112,724.32
  4. Step 4: Simplify right side
    208,218.40x = 32,389,976,151.19
  5. Step 5: Solve for x
    x = 32,389,976,151.19/208,218.40
  6. Step 6: Final answer
    x = 155,557.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.