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Finding the Fourth Proportional to 267,802.68, 369,561.14 and 149,928.17

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Solution

The fourth proportional to 267,802.68, 369,561.14 and 149,928.17 is: 206,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,802.68 : 369,561.14 = 149,928.17 : x
  2. Step 2: Convert to fraction form
    267,802.68/369,561.14 = 149,928.17/x
  3. Step 3: Cross multiply
    267,802.68x = 369,561.14 × 149,928.17
  4. Step 4: Simplify right side
    267,802.68x = 55,407,625,423.31
  5. Step 5: Solve for x
    x = 55,407,625,423.31/267,802.68
  6. Step 6: Final answer
    x = 206,897.20

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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.