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Finding the Fourth Proportional to 264,492.18, 396,815.10 and 96,009.78

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Solution

The fourth proportional to 264,492.18, 396,815.10 and 96,009.78 is: 144,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,492.18 : 396,815.10 = 96,009.78 : x
  2. Step 2: Convert to fraction form
    264,492.18/396,815.10 = 96,009.78/x
  3. Step 3: Cross multiply
    264,492.18x = 396,815.10 × 96,009.78
  4. Step 4: Simplify right side
    264,492.18x = 38,098,130,451.68
  5. Step 5: Solve for x
    x = 38,098,130,451.68/264,492.18
  6. Step 6: Final answer
    x = 144,042.56

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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.