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Finding the Fourth Proportional to 141,259, 194,937.42 and 77,597.86

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Solution

The fourth proportional to 141,259, 194,937.42 and 77,597.86 is: 107,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,259 : 194,937.42 = 77,597.86 : x
  2. Step 2: Convert to fraction form
    141,259/194,937.42 = 77,597.86/x
  3. Step 3: Cross multiply
    141,259x = 194,937.42 × 77,597.86
  4. Step 4: Simplify right side
    141,259x = 15,126,726,625.92
  5. Step 5: Solve for x
    x = 15,126,726,625.92/141,259
  6. Step 6: Final answer
    x = 107,085.05

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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.