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Finding the Fourth Proportional to 239,439, 359,160.30 and 106,283.46

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Solution

The fourth proportional to 239,439, 359,160.30 and 106,283.46 is: 159,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,439 : 359,160.30 = 106,283.46 : x
  2. Step 2: Convert to fraction form
    239,439/359,160.30 = 106,283.46/x
  3. Step 3: Cross multiply
    239,439x = 359,160.30 × 106,283.46
  4. Step 4: Simplify right side
    239,439x = 38,172,799,378.64
  5. Step 5: Solve for x
    x = 38,172,799,378.64/239,439
  6. Step 6: Final answer
    x = 159,425.99

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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.