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Finding the Fourth Proportional to 243,553.30, 364,811.55 and 202,081.30

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Solution

The fourth proportional to 243,553.30, 364,811.55 and 202,081.30 is: 302,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,553.30 : 364,811.55 = 202,081.30 : x
  2. Step 2: Convert to fraction form
    243,553.30/364,811.55 = 202,081.30/x
  3. Step 3: Cross multiply
    243,553.30x = 364,811.55 × 202,081.30
  4. Step 4: Simplify right side
    243,553.30x = 73,721,592,279.02
  5. Step 5: Solve for x
    x = 73,721,592,279.02/243,553.30
  6. Step 6: Final answer
    x = 302,691.82

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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.