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Finding the Fourth Proportional to 267,731.60, 369,467.45 and 145,223.68

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Solution

The fourth proportional to 267,731.60, 369,467.45 and 145,223.68 is: 200,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,731.60 : 369,467.45 = 145,223.68 : x
  2. Step 2: Convert to fraction form
    267,731.60/369,467.45 = 145,223.68/x
  3. Step 3: Cross multiply
    267,731.60x = 369,467.45 × 145,223.68
  4. Step 4: Simplify right side
    267,731.60x = 53,655,420,881.88
  5. Step 5: Solve for x
    x = 53,655,420,881.88/267,731.60
  6. Step 6: Final answer
    x = 200,407.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.