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Finding the Fourth Proportional to 239,810.40, 359,845.20 and 106,711.20

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Solution

The fourth proportional to 239,810.40, 359,845.20 and 106,711.20 is: 160,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,810.40 : 359,845.20 = 106,711.20 : x
  2. Step 2: Convert to fraction form
    239,810.40/359,845.20 = 106,711.20/x
  3. Step 3: Cross multiply
    239,810.40x = 359,845.20 × 106,711.20
  4. Step 4: Simplify right side
    239,810.40x = 38,399,513,106.24
  5. Step 5: Solve for x
    x = 38,399,513,106.24/239,810.40
  6. Step 6: Final answer
    x = 160,124.47

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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.