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Finding the Fourth Proportional to 215,434.92, 323,006.58 and 75,117

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Solution

The fourth proportional to 215,434.92, 323,006.58 and 75,117 is: 112,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,434.92 : 323,006.58 = 75,117 : x
  2. Step 2: Convert to fraction form
    215,434.92/323,006.58 = 75,117/x
  3. Step 3: Cross multiply
    215,434.92x = 323,006.58 × 75,117
  4. Step 4: Simplify right side
    215,434.92x = 24,263,285,269.86
  5. Step 5: Solve for x
    x = 24,263,285,269.86/215,434.92
  6. Step 6: Final answer
    x = 112,624.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.