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Finding the Fourth Proportional to 282,391.41, 423,670.16 and 113,824.97

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Solution

The fourth proportional to 282,391.41, 423,670.16 and 113,824.97 is: 170,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,391.41 : 423,670.16 = 113,824.97 : x
  2. Step 2: Convert to fraction form
    282,391.41/423,670.16 = 113,824.97/x
  3. Step 3: Cross multiply
    282,391.41x = 423,670.16 × 113,824.97
  4. Step 4: Simplify right side
    282,391.41x = 48,224,242,377.73
  5. Step 5: Solve for x
    x = 48,224,242,377.73/282,391.41
  6. Step 6: Final answer
    x = 170,770.92

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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.