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Finding the Fourth Proportional to 199,419.40, 299,129.10 and 143,432.20

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Solution

The fourth proportional to 199,419.40, 299,129.10 and 143,432.20 is: 215,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.40 : 299,129.10 = 143,432.20 : x
  2. Step 2: Convert to fraction form
    199,419.40/299,129.10 = 143,432.20/x
  3. Step 3: Cross multiply
    199,419.40x = 299,129.10 × 143,432.20
  4. Step 4: Simplify right side
    199,419.40x = 42,904,744,897.02
  5. Step 5: Solve for x
    x = 42,904,744,897.02/199,419.40
  6. Step 6: Final answer
    x = 215,148.30

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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.