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Finding the Fourth Proportional to 178,389.30, 267,582.74 and 43,451.76

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Solution

The fourth proportional to 178,389.30, 267,582.74 and 43,451.76 is: 65,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,389.30 : 267,582.74 = 43,451.76 : x
  2. Step 2: Convert to fraction form
    178,389.30/267,582.74 = 43,451.76/x
  3. Step 3: Cross multiply
    178,389.30x = 267,582.74 × 43,451.76
  4. Step 4: Simplify right side
    178,389.30x = 11,626,940,781.36
  5. Step 5: Solve for x
    x = 11,626,940,781.36/178,389.30
  6. Step 6: Final answer
    x = 65,177.34

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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.