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Finding the Fourth Proportional to 178,320, 267,418.08 and 51,925.92

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Solution

The fourth proportional to 178,320, 267,418.08 and 51,925.92 is: 77,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,320 : 267,418.08 = 51,925.92 : x
  2. Step 2: Convert to fraction form
    178,320/267,418.08 = 51,925.92/x
  3. Step 3: Cross multiply
    178,320x = 267,418.08 × 51,925.92
  4. Step 4: Simplify right side
    178,320x = 13,885,929,828.63
  5. Step 5: Solve for x
    x = 13,885,929,828.63/178,320
  6. Step 6: Final answer
    x = 77,870.85

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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.