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Finding the Fourth Proportional to 355,143.18, 490,089.53 and 193,998.95

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Solution

The fourth proportional to 355,143.18, 490,089.53 and 193,998.95 is: 267,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,143.18 : 490,089.53 = 193,998.95 : x
  2. Step 2: Convert to fraction form
    355,143.18/490,089.53 = 193,998.95/x
  3. Step 3: Cross multiply
    355,143.18x = 490,089.53 × 193,998.95
  4. Step 4: Simplify right side
    355,143.18x = 95,076,854,098.38
  5. Step 5: Solve for x
    x = 95,076,854,098.38/355,143.18
  6. Step 6: Final answer
    x = 267,714.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.