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Finding the Fourth Proportional to 270,002.15, 405,060.53 and 92,461.49

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Solution

The fourth proportional to 270,002.15, 405,060.53 and 92,461.49 is: 138,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,002.15 : 405,060.53 = 92,461.49 : x
  2. Step 2: Convert to fraction form
    270,002.15/405,060.53 = 92,461.49/x
  3. Step 3: Cross multiply
    270,002.15x = 405,060.53 × 92,461.49
  4. Step 4: Simplify right side
    270,002.15x = 37,452,497,656.38
  5. Step 5: Solve for x
    x = 37,452,497,656.38/270,002.15
  6. Step 6: Final answer
    x = 138,711.85

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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.