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Finding the Fourth Proportional to 241,711.84, 362,530.32 and 123,470.56

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Solution

The fourth proportional to 241,711.84, 362,530.32 and 123,470.56 is: 185,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,711.84 : 362,530.32 = 123,470.56 : x
  2. Step 2: Convert to fraction form
    241,711.84/362,530.32 = 123,470.56/x
  3. Step 3: Cross multiply
    241,711.84x = 362,530.32 × 123,470.56
  4. Step 4: Simplify right side
    241,711.84x = 44,761,821,627.38
  5. Step 5: Solve for x
    x = 44,761,821,627.38/241,711.84
  6. Step 6: Final answer
    x = 185,186.72

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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.