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Finding the Fourth Proportional to 177,586.86, 267,579.15 and 146,689.11

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Solution

The fourth proportional to 177,586.86, 267,579.15 and 146,689.11 is: 221,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,586.86 : 267,579.15 = 146,689.11 : x
  2. Step 2: Convert to fraction form
    177,586.86/267,579.15 = 146,689.11/x
  3. Step 3: Cross multiply
    177,586.86x = 267,579.15 × 146,689.11
  4. Step 4: Simplify right side
    177,586.86x = 39,250,946,817.97
  5. Step 5: Solve for x
    x = 39,250,946,817.97/177,586.86
  6. Step 6: Final answer
    x = 221,023.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.