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Finding the Fourth Proportional to 438,758.81, 658,138.23 and 106,334.81

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Solution

The fourth proportional to 438,758.81, 658,138.23 and 106,334.81 is: 159,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,758.81 : 658,138.23 = 106,334.81 : x
  2. Step 2: Convert to fraction form
    438,758.81/658,138.23 = 106,334.81/x
  3. Step 3: Cross multiply
    438,758.81x = 658,138.23 × 106,334.81
  4. Step 4: Simplify right side
    438,758.81x = 69,983,005,286.13
  5. Step 5: Solve for x
    x = 69,983,005,286.13/438,758.81
  6. Step 6: Final answer
    x = 159,502.22

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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.