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Finding the Fourth Proportional to 100,521.20, 150,652.20 and 77,031.20

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Solution

The fourth proportional to 100,521.20, 150,652.20 and 77,031.20 is: 115,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.20 : 150,652.20 = 77,031.20 : x
  2. Step 2: Convert to fraction form
    100,521.20/150,652.20 = 77,031.20/x
  3. Step 3: Cross multiply
    100,521.20x = 150,652.20 × 77,031.20
  4. Step 4: Simplify right side
    100,521.20x = 11,604,919,748.64
  5. Step 5: Solve for x
    x = 11,604,919,748.64/100,521.20
  6. Step 6: Final answer
    x = 115,447.49

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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.