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Finding the Fourth Proportional to 242,704.74, 364,221.06 and 84,934.56

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Solution

The fourth proportional to 242,704.74, 364,221.06 and 84,934.56 is: 127,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,704.74 : 364,221.06 = 84,934.56 : x
  2. Step 2: Convert to fraction form
    242,704.74/364,221.06 = 84,934.56/x
  3. Step 3: Cross multiply
    242,704.74x = 364,221.06 × 84,934.56
  4. Step 4: Simplify right side
    242,704.74x = 30,934,955,473.83
  5. Step 5: Solve for x
    x = 30,934,955,473.83/242,704.74
  6. Step 6: Final answer
    x = 127,459.21

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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.