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Finding the Fourth Proportional to 131,431.80, 197,147.70 and 130,265.40

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Solution

The fourth proportional to 131,431.80, 197,147.70 and 130,265.40 is: 195,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,431.80 : 197,147.70 = 130,265.40 : x
  2. Step 2: Convert to fraction form
    131,431.80/197,147.70 = 130,265.40/x
  3. Step 3: Cross multiply
    131,431.80x = 197,147.70 × 130,265.40
  4. Step 4: Simplify right side
    131,431.80x = 25,681,523,999.58
  5. Step 5: Solve for x
    x = 25,681,523,999.58/131,431.80
  6. Step 6: Final answer
    x = 195,398.10

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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.