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Finding the Fourth Proportional to 363,151.84, 544,815.30 and 113,833.84

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Solution

The fourth proportional to 363,151.84, 544,815.30 and 113,833.84 is: 170,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,151.84 : 544,815.30 = 113,833.84 : x
  2. Step 2: Convert to fraction form
    363,151.84/544,815.30 = 113,833.84/x
  3. Step 3: Cross multiply
    363,151.84x = 544,815.30 × 113,833.84
  4. Step 4: Simplify right side
    363,151.84x = 62,018,417,689.75
  5. Step 5: Solve for x
    x = 62,018,417,689.75/363,151.84
  6. Step 6: Final answer
    x = 170,778.20

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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.