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Finding the Fourth Proportional to 239,442, 359,164.80 and 106,286.46

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Solution

The fourth proportional to 239,442, 359,164.80 and 106,286.46 is: 159,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,442 : 359,164.80 = 106,286.46 : x
  2. Step 2: Convert to fraction form
    239,442/359,164.80 = 106,286.46/x
  3. Step 3: Cross multiply
    239,442x = 359,164.80 × 106,286.46
  4. Step 4: Simplify right side
    239,442x = 38,174,355,148.61
  5. Step 5: Solve for x
    x = 38,174,355,148.61/239,442
  6. Step 6: Final answer
    x = 159,430.49

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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.