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Finding the Fourth Proportional to 178,184.92, 245,834.88 and 105,565.12

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Solution

The fourth proportional to 178,184.92, 245,834.88 and 105,565.12 is: 145,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,184.92 : 245,834.88 = 105,565.12 : x
  2. Step 2: Convert to fraction form
    178,184.92/245,834.88 = 105,565.12/x
  3. Step 3: Cross multiply
    178,184.92x = 245,834.88 × 105,565.12
  4. Step 4: Simplify right side
    178,184.92x = 25,951,588,607.39
  5. Step 5: Solve for x
    x = 25,951,588,607.39/178,184.92
  6. Step 6: Final answer
    x = 145,644.14

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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.