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Finding the Fourth Proportional to 141,881.38, 195,797.66 and 78,221.45

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Solution

The fourth proportional to 141,881.38, 195,797.66 and 78,221.45 is: 107,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,881.38 : 195,797.66 = 78,221.45 : x
  2. Step 2: Convert to fraction form
    141,881.38/195,797.66 = 78,221.45/x
  3. Step 3: Cross multiply
    141,881.38x = 195,797.66 × 78,221.45
  4. Step 4: Simplify right side
    141,881.38x = 15,315,576,970.19
  5. Step 5: Solve for x
    x = 15,315,576,970.19/141,881.38
  6. Step 6: Final answer
    x = 107,946.35

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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.