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Finding the Fourth Proportional to 141,430.50, 195,179.58 and 77,766.93

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Solution

The fourth proportional to 141,430.50, 195,179.58 and 77,766.93 is: 107,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,430.50 : 195,179.58 = 77,766.93 : x
  2. Step 2: Convert to fraction form
    141,430.50/195,179.58 = 77,766.93/x
  3. Step 3: Cross multiply
    141,430.50x = 195,179.58 × 77,766.93
  4. Step 4: Simplify right side
    141,430.50x = 15,178,516,735.29
  5. Step 5: Solve for x
    x = 15,178,516,735.29/141,430.50
  6. Step 6: Final answer
    x = 107,321.38

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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.