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Finding the Fourth Proportional to 131,985.40, 197,978.10 and 32,144.80

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Solution

The fourth proportional to 131,985.40, 197,978.10 and 32,144.80 is: 48,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,985.40 : 197,978.10 = 32,144.80 : x
  2. Step 2: Convert to fraction form
    131,985.40/197,978.10 = 32,144.80/x
  3. Step 3: Cross multiply
    131,985.40x = 197,978.10 × 32,144.80
  4. Step 4: Simplify right side
    131,985.40x = 6,363,966,428.88
  5. Step 5: Solve for x
    x = 6,363,966,428.88/131,985.40
  6. Step 6: Final answer
    x = 48,217.20

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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.