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Finding the Fourth Proportional to 294,070.97, 441,109.19 and 83,708.91

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Solution

The fourth proportional to 294,070.97, 441,109.19 and 83,708.91 is: 125,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,070.97 : 441,109.19 = 83,708.91 : x
  2. Step 2: Convert to fraction form
    294,070.97/441,109.19 = 83,708.91/x
  3. Step 3: Cross multiply
    294,070.97x = 441,109.19 × 83,708.91
  4. Step 4: Simplify right side
    294,070.97x = 36,924,769,695.16
  5. Step 5: Solve for x
    x = 36,924,769,695.16/294,070.97
  6. Step 6: Final answer
    x = 125,564.14

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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.