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Finding the Fourth Proportional to 267,377.32, 368,981.16 and 146,499.40

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Solution

The fourth proportional to 267,377.32, 368,981.16 and 146,499.40 is: 202,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,377.32 : 368,981.16 = 146,499.40 : x
  2. Step 2: Convert to fraction form
    267,377.32/368,981.16 = 146,499.40/x
  3. Step 3: Cross multiply
    267,377.32x = 368,981.16 × 146,499.40
  4. Step 4: Simplify right side
    267,377.32x = 54,055,518,551.30
  5. Step 5: Solve for x
    x = 54,055,518,551.30/267,377.32
  6. Step 6: Final answer
    x = 202,169.42

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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.