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Finding the Fourth Proportional to 253,056.23, 349,217.68 and 138,335.38

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Solution

The fourth proportional to 253,056.23, 349,217.68 and 138,335.38 is: 190,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,056.23 : 349,217.68 = 138,335.38 : x
  2. Step 2: Convert to fraction form
    253,056.23/349,217.68 = 138,335.38/x
  3. Step 3: Cross multiply
    253,056.23x = 349,217.68 × 138,335.38
  4. Step 4: Simplify right side
    253,056.23x = 48,309,159,246.64
  5. Step 5: Solve for x
    x = 48,309,159,246.64/253,056.23
  6. Step 6: Final answer
    x = 190,902.86

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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.