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Finding the Fourth Proportional to 202,352.38, 279,244.72 and 111,708.47

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Solution

The fourth proportional to 202,352.38, 279,244.72 and 111,708.47 is: 154,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352.38 : 279,244.72 = 111,708.47 : x
  2. Step 2: Convert to fraction form
    202,352.38/279,244.72 = 111,708.47/x
  3. Step 3: Cross multiply
    202,352.38x = 279,244.72 × 111,708.47
  4. Step 4: Simplify right side
    202,352.38x = 31,193,999,065.41
  5. Step 5: Solve for x
    x = 31,193,999,065.41/202,352.38
  6. Step 6: Final answer
    x = 154,156.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.