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Finding the Fourth Proportional to 272,890.31, 409,397.77 and 83,377.65

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Solution

The fourth proportional to 272,890.31, 409,397.77 and 83,377.65 is: 125,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,890.31 : 409,397.77 = 83,377.65 : x
  2. Step 2: Convert to fraction form
    272,890.31/409,397.77 = 83,377.65/x
  3. Step 3: Cross multiply
    272,890.31x = 409,397.77 × 83,377.65
  4. Step 4: Simplify right side
    272,890.31x = 34,134,623,977.84
  5. Step 5: Solve for x
    x = 34,134,623,977.84/272,890.31
  6. Step 6: Final answer
    x = 125,085.51

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