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Finding the Fourth Proportional to 242,011.44, 363,055.96 and 84,284.72

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Solution

The fourth proportional to 242,011.44, 363,055.96 and 84,284.72 is: 126,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,011.44 : 363,055.96 = 84,284.72 : x
  2. Step 2: Convert to fraction form
    242,011.44/363,055.96 = 84,284.72/x
  3. Step 3: Cross multiply
    242,011.44x = 363,055.96 × 84,284.72
  4. Step 4: Simplify right side
    242,011.44x = 30,600,069,932.93
  5. Step 5: Solve for x
    x = 30,600,069,932.93/242,011.44
  6. Step 6: Final answer
    x = 126,440.59

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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.