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Finding the Fourth Proportional to 243,073.80, 364,610.70 and 180,865.80

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Solution

The fourth proportional to 243,073.80, 364,610.70 and 180,865.80 is: 271,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,073.80 : 364,610.70 = 180,865.80 : x
  2. Step 2: Convert to fraction form
    243,073.80/364,610.70 = 180,865.80/x
  3. Step 3: Cross multiply
    243,073.80x = 364,610.70 × 180,865.80
  4. Step 4: Simplify right side
    243,073.80x = 65,945,605,944.06
  5. Step 5: Solve for x
    x = 65,945,605,944.06/243,073.80
  6. Step 6: Final answer
    x = 271,298.70

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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.