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Finding the Fourth Proportional to 120,802.60, 181,031.10 and 88,964.20

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Solution

The fourth proportional to 120,802.60, 181,031.10 and 88,964.20 is: 133,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.60 : 181,031.10 = 88,964.20 : x
  2. Step 2: Convert to fraction form
    120,802.60/181,031.10 = 88,964.20/x
  3. Step 3: Cross multiply
    120,802.60x = 181,031.10 × 88,964.20
  4. Step 4: Simplify right side
    120,802.60x = 16,105,286,986.62
  5. Step 5: Solve for x
    x = 16,105,286,986.62/120,802.60
  6. Step 6: Final answer
    x = 133,319.04

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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.