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Finding the Fourth Proportional to 267,367.50, 368,967.15 and 148,135.50

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Solution

The fourth proportional to 267,367.50, 368,967.15 and 148,135.50 is: 204,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,367.50 : 368,967.15 = 148,135.50 : x
  2. Step 2: Convert to fraction form
    267,367.50/368,967.15 = 148,135.50/x
  3. Step 3: Cross multiply
    267,367.50x = 368,967.15 × 148,135.50
  4. Step 4: Simplify right side
    267,367.50x = 54,657,133,248.83
  5. Step 5: Solve for x
    x = 54,657,133,248.83/267,367.50
  6. Step 6: Final answer
    x = 204,426.99

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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.