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Finding the Fourth Proportional to 178,344, 267,454.08 and 51,950.16

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Solution

The fourth proportional to 178,344, 267,454.08 and 51,950.16 is: 77,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,344 : 267,454.08 = 51,950.16 : x
  2. Step 2: Convert to fraction form
    178,344/267,454.08 = 51,950.16/x
  3. Step 3: Cross multiply
    178,344x = 267,454.08 × 51,950.16
  4. Step 4: Simplify right side
    178,344x = 13,894,282,248.65
  5. Step 5: Solve for x
    x = 13,894,282,248.65/178,344
  6. Step 6: Final answer
    x = 77,907.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.