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Finding the Fourth Proportional to 208,311.48, 287,468.34 and 112,815.96

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Solution

The fourth proportional to 208,311.48, 287,468.34 and 112,815.96 is: 155,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.48 : 287,468.34 = 112,815.96 : x
  2. Step 2: Convert to fraction form
    208,311.48/287,468.34 = 112,815.96/x
  3. Step 3: Cross multiply
    208,311.48x = 287,468.34 × 112,815.96
  4. Step 4: Simplify right side
    208,311.48x = 32,431,016,746.71
  5. Step 5: Solve for x
    x = 32,431,016,746.71/208,311.48
  6. Step 6: Final answer
    x = 155,685.21

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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.