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Finding the Fourth Proportional to 253,538.82, 380,359.32 and 93,615.78

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Solution

The fourth proportional to 253,538.82, 380,359.32 and 93,615.78 is: 140,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,538.82 : 380,359.32 = 93,615.78 : x
  2. Step 2: Convert to fraction form
    253,538.82/380,359.32 = 93,615.78/x
  3. Step 3: Cross multiply
    253,538.82x = 380,359.32 × 93,615.78
  4. Step 4: Simplify right side
    253,538.82x = 35,607,634,422.07
  5. Step 5: Solve for x
    x = 35,607,634,422.07/253,538.82
  6. Step 6: Final answer
    x = 140,442.53

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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.