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Finding the Fourth Proportional to 107,031.20, 160,546.80 and 100,470.20

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Solution

The fourth proportional to 107,031.20, 160,546.80 and 100,470.20 is: 150,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,031.20 : 160,546.80 = 100,470.20 : x
  2. Step 2: Convert to fraction form
    107,031.20/160,546.80 = 100,470.20/x
  3. Step 3: Cross multiply
    107,031.20x = 160,546.80 × 100,470.20
  4. Step 4: Simplify right side
    107,031.20x = 16,130,169,105.36
  5. Step 5: Solve for x
    x = 16,130,169,105.36/107,031.20
  6. Step 6: Final answer
    x = 150,705.30

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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.