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Finding the Fourth Proportional to 329,826.25, 494,714.53 and 105,177.61

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Solution

The fourth proportional to 329,826.25, 494,714.53 and 105,177.61 is: 157,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,826.25 : 494,714.53 = 105,177.61 : x
  2. Step 2: Convert to fraction form
    329,826.25/494,714.53 = 105,177.61/x
  3. Step 3: Cross multiply
    329,826.25x = 494,714.53 × 105,177.61
  4. Step 4: Simplify right side
    329,826.25x = 52,032,891,897.67
  5. Step 5: Solve for x
    x = 52,032,891,897.67/329,826.25
  6. Step 6: Final answer
    x = 157,758.49

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