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Finding the Fourth Proportional to 272,707.75, 409,060.48 and 83,167.55

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Solution

The fourth proportional to 272,707.75, 409,060.48 and 83,167.55 is: 124,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,707.75 : 409,060.48 = 83,167.55 : x
  2. Step 2: Convert to fraction form
    272,707.75/409,060.48 = 83,167.55/x
  3. Step 3: Cross multiply
    272,707.75x = 409,060.48 × 83,167.55
  4. Step 4: Simplify right side
    272,707.75x = 34,020,557,923.42
  5. Step 5: Solve for x
    x = 34,020,557,923.42/272,707.75
  6. Step 6: Final answer
    x = 124,750.98

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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.