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Finding the Fourth Proportional to 141,527.88, 195,311.50 and 77,865.86

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Solution

The fourth proportional to 141,527.88, 195,311.50 and 77,865.86 is: 107,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,527.88 : 195,311.50 = 77,865.86 : x
  2. Step 2: Convert to fraction form
    141,527.88/195,311.50 = 77,865.86/x
  3. Step 3: Cross multiply
    141,527.88x = 195,311.50 × 77,865.86
  4. Step 4: Simplify right side
    141,527.88x = 15,208,097,915.39
  5. Step 5: Solve for x
    x = 15,208,097,915.39/141,527.88
  6. Step 6: Final answer
    x = 107,456.55

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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.