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Finding the Fourth Proportional to 194,961.60, 291,981.60 and 132,292.80

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Solution

The fourth proportional to 194,961.60, 291,981.60 and 132,292.80 is: 198,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,961.60 : 291,981.60 = 132,292.80 : x
  2. Step 2: Convert to fraction form
    194,961.60/291,981.60 = 132,292.80/x
  3. Step 3: Cross multiply
    194,961.60x = 291,981.60 × 132,292.80
  4. Step 4: Simplify right side
    194,961.60x = 38,627,063,412.48
  5. Step 5: Solve for x
    x = 38,627,063,412.48/194,961.60
  6. Step 6: Final answer
    x = 198,126.52

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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.