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Finding the Fourth Proportional to 267,646.42, 369,356.78 and 146,786.66

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Solution

The fourth proportional to 267,646.42, 369,356.78 and 146,786.66 is: 202,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,646.42 : 369,356.78 = 146,786.66 : x
  2. Step 2: Convert to fraction form
    267,646.42/369,356.78 = 146,786.66/x
  3. Step 3: Cross multiply
    267,646.42x = 369,356.78 × 146,786.66
  4. Step 4: Simplify right side
    267,646.42x = 54,216,645,503.84
  5. Step 5: Solve for x
    x = 54,216,645,503.84/267,646.42
  6. Step 6: Final answer
    x = 202,568.17

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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.