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Finding the Fourth Proportional to 242,773.20, 364,140.36 and 82,835.46

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Solution

The fourth proportional to 242,773.20, 364,140.36 and 82,835.46 is: 124,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,773.20 : 364,140.36 = 82,835.46 : x
  2. Step 2: Convert to fraction form
    242,773.20/364,140.36 = 82,835.46/x
  3. Step 3: Cross multiply
    242,773.20x = 364,140.36 × 82,835.46
  4. Step 4: Simplify right side
    242,773.20x = 30,163,734,225.17
  5. Step 5: Solve for x
    x = 30,163,734,225.17/242,773.20
  6. Step 6: Final answer
    x = 124,246.56

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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.