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Finding the Fourth Proportional to 208,505.08, 287,737.52 and 113,011.68

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Solution

The fourth proportional to 208,505.08, 287,737.52 and 113,011.68 is: 155,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,505.08 : 287,737.52 = 113,011.68 : x
  2. Step 2: Convert to fraction form
    208,505.08/287,737.52 = 113,011.68/x
  3. Step 3: Cross multiply
    208,505.08x = 287,737.52 × 113,011.68
  4. Step 4: Simplify right side
    208,505.08x = 32,517,700,534.23
  5. Step 5: Solve for x
    x = 32,517,700,534.23/208,505.08
  6. Step 6: Final answer
    x = 155,956.39

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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.