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Finding the Fourth Proportional to 106,230.78, 159,346.14 and 32,358.78

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Solution

The fourth proportional to 106,230.78, 159,346.14 and 32,358.78 is: 48,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,230.78 : 159,346.14 = 32,358.78 : x
  2. Step 2: Convert to fraction form
    106,230.78/159,346.14 = 32,358.78/x
  3. Step 3: Cross multiply
    106,230.78x = 159,346.14 × 32,358.78
  4. Step 4: Simplify right side
    106,230.78x = 5,156,246,688.11
  5. Step 5: Solve for x
    x = 5,156,246,688.11/106,230.78
  6. Step 6: Final answer
    x = 48,538.16

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1.5x scale

Why These Related Problems?

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