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Finding the Fourth Proportional to 162,165.32, 243,248.85 and 106,358.83

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Solution

The fourth proportional to 162,165.32, 243,248.85 and 106,358.83 is: 159,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,165.32 : 243,248.85 = 106,358.83 : x
  2. Step 2: Convert to fraction form
    162,165.32/243,248.85 = 106,358.83/x
  3. Step 3: Cross multiply
    162,165.32x = 243,248.85 × 106,358.83
  4. Step 4: Simplify right side
    162,165.32x = 25,871,663,388.91
  5. Step 5: Solve for x
    x = 25,871,663,388.91/162,165.32
  6. Step 6: Final answer
    x = 159,538.82

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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.