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Finding the Fourth Proportional to 120,012.80, 180,019.20 and 97,851.20

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Solution

The fourth proportional to 120,012.80, 180,019.20 and 97,851.20 is: 146,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,012.80 : 180,019.20 = 97,851.20 : x
  2. Step 2: Convert to fraction form
    120,012.80/180,019.20 = 97,851.20/x
  3. Step 3: Cross multiply
    120,012.80x = 180,019.20 × 97,851.20
  4. Step 4: Simplify right side
    120,012.80x = 17,615,094,743.04
  5. Step 5: Solve for x
    x = 17,615,094,743.04/120,012.80
  6. Step 6: Final answer
    x = 146,776.80

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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.