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Finding the Fourth Proportional to 241,711.20, 362,221.20 and 178,034.40

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Solution

The fourth proportional to 241,711.20, 362,221.20 and 178,034.40 is: 266,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,711.20 : 362,221.20 = 178,034.40 : x
  2. Step 2: Convert to fraction form
    241,711.20/362,221.20 = 178,034.40/x
  3. Step 3: Cross multiply
    241,711.20x = 362,221.20 × 178,034.40
  4. Step 4: Simplify right side
    241,711.20x = 64,487,834,009.28
  5. Step 5: Solve for x
    x = 64,487,834,009.28/241,711.20
  6. Step 6: Final answer
    x = 266,797.05

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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.