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Finding the Fourth Proportional to 195,669.47, 292,978.09 and 124,205.25

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Solution

The fourth proportional to 195,669.47, 292,978.09 and 124,205.25 is: 185,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,669.47 : 292,978.09 = 124,205.25 : x
  2. Step 2: Convert to fraction form
    195,669.47/292,978.09 = 124,205.25/x
  3. Step 3: Cross multiply
    195,669.47x = 292,978.09 × 124,205.25
  4. Step 4: Simplify right side
    195,669.47x = 36,389,416,169.57
  5. Step 5: Solve for x
    x = 36,389,416,169.57/195,669.47
  6. Step 6: Final answer
    x = 185,973.91

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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.