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Finding the Fourth Proportional to 243,024.30, 364,536.45 and 85,195.80

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Solution

The fourth proportional to 243,024.30, 364,536.45 and 85,195.80 is: 127,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,024.30 : 364,536.45 = 85,195.80 : x
  2. Step 2: Convert to fraction form
    243,024.30/364,536.45 = 85,195.80/x
  3. Step 3: Cross multiply
    243,024.30x = 364,536.45 × 85,195.80
  4. Step 4: Simplify right side
    243,024.30x = 31,056,974,486.91
  5. Step 5: Solve for x
    x = 31,056,974,486.91/243,024.30
  6. Step 6: Final answer
    x = 127,793.70

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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.