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Finding the Fourth Proportional to 141,708.84, 195,559.50 and 78,046.86

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Solution

The fourth proportional to 141,708.84, 195,559.50 and 78,046.86 is: 107,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,708.84 : 195,559.50 = 78,046.86 : x
  2. Step 2: Convert to fraction form
    141,708.84/195,559.50 = 78,046.86/x
  3. Step 3: Cross multiply
    141,708.84x = 195,559.50 × 78,046.86
  4. Step 4: Simplify right side
    141,708.84x = 15,262,804,918.17
  5. Step 5: Solve for x
    x = 15,262,804,918.17/141,708.84
  6. Step 6: Final answer
    x = 107,705.38

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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.