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Finding the Fourth Proportional to 142,121.97, 213,070.49 and 53,365.59

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Solution

The fourth proportional to 142,121.97, 213,070.49 and 53,365.59 is: 80,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,121.97 : 213,070.49 = 53,365.59 : x
  2. Step 2: Convert to fraction form
    142,121.97/213,070.49 = 53,365.59/x
  3. Step 3: Cross multiply
    142,121.97x = 213,070.49 × 53,365.59
  4. Step 4: Simplify right side
    142,121.97x = 11,370,631,478.50
  5. Step 5: Solve for x
    x = 11,370,631,478.50/142,121.97
  6. Step 6: Final answer
    x = 80,006.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.