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Finding the Fourth Proportional to 141,358.56, 195,076.30 and 76,827.78

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Solution

The fourth proportional to 141,358.56, 195,076.30 and 76,827.78 is: 106,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,358.56 : 195,076.30 = 76,827.78 : x
  2. Step 2: Convert to fraction form
    141,358.56/195,076.30 = 76,827.78/x
  3. Step 3: Cross multiply
    141,358.56x = 195,076.30 × 76,827.78
  4. Step 4: Simplify right side
    141,358.56x = 14,987,279,059.61
  5. Step 5: Solve for x
    x = 14,987,279,059.61/141,358.56
  6. Step 6: Final answer
    x = 106,023.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.