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Finding the Fourth Proportional to 141,497.55, 195,261.84 and 77,834.79

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Solution

The fourth proportional to 141,497.55, 195,261.84 and 77,834.79 is: 107,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,497.55 : 195,261.84 = 77,834.79 : x
  2. Step 2: Convert to fraction form
    141,497.55/195,261.84 = 77,834.79/x
  3. Step 3: Cross multiply
    141,497.55x = 195,261.84 × 77,834.79
  4. Step 4: Simplify right side
    141,497.55x = 15,198,164,311.41
  5. Step 5: Solve for x
    x = 15,198,164,311.41/141,497.55
  6. Step 6: Final answer
    x = 107,409.38

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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.