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Finding the Fourth Proportional to 241,564.80, 362,346.88 and 83,793.28

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Solution

The fourth proportional to 241,564.80, 362,346.88 and 83,793.28 is: 125,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,564.80 : 362,346.88 = 83,793.28 : x
  2. Step 2: Convert to fraction form
    241,564.80/362,346.88 = 83,793.28/x
  3. Step 3: Cross multiply
    241,564.80x = 362,346.88 × 83,793.28
  4. Step 4: Simplify right side
    241,564.80x = 30,362,233,572.97
  5. Step 5: Solve for x
    x = 30,362,233,572.97/241,564.80
  6. Step 6: Final answer
    x = 125,689.81

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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.