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Finding the Fourth Proportional to 183,034.32, 252,584.52 and 102,460.56

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Solution

The fourth proportional to 183,034.32, 252,584.52 and 102,460.56 is: 141,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,034.32 : 252,584.52 = 102,460.56 : x
  2. Step 2: Convert to fraction form
    183,034.32/252,584.52 = 102,460.56/x
  3. Step 3: Cross multiply
    183,034.32x = 252,584.52 × 102,460.56
  4. Step 4: Simplify right side
    183,034.32x = 25,879,951,366.53
  5. Step 5: Solve for x
    x = 25,879,951,366.53/183,034.32
  6. Step 6: Final answer
    x = 141,393.98

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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.