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Finding the Fourth Proportional to 260,031.40, 390,047.10 and 159,866.80

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Solution

The fourth proportional to 260,031.40, 390,047.10 and 159,866.80 is: 239,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.40 : 390,047.10 = 159,866.80 : x
  2. Step 2: Convert to fraction form
    260,031.40/390,047.10 = 159,866.80/x
  3. Step 3: Cross multiply
    260,031.40x = 390,047.10 × 159,866.80
  4. Step 4: Simplify right side
    260,031.40x = 62,355,581,726.28
  5. Step 5: Solve for x
    x = 62,355,581,726.28/260,031.40
  6. Step 6: Final answer
    x = 239,800.20

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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.