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Finding the Fourth Proportional to 178,107.24, 267,259.24 and 99,265.90

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Solution

The fourth proportional to 178,107.24, 267,259.24 and 99,265.90 is: 148,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,107.24 : 267,259.24 = 99,265.90 : x
  2. Step 2: Convert to fraction form
    178,107.24/267,259.24 = 99,265.90/x
  3. Step 3: Cross multiply
    178,107.24x = 267,259.24 × 99,265.90
  4. Step 4: Simplify right side
    178,107.24x = 26,529,728,991.92
  5. Step 5: Solve for x
    x = 26,529,728,991.92/178,107.24
  6. Step 6: Final answer
    x = 148,953.68

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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.