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Finding the Fourth Proportional to 253,588.68, 349,952.38 and 140,411.44

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Solution

The fourth proportional to 253,588.68, 349,952.38 and 140,411.44 is: 193,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,588.68 : 349,952.38 = 140,411.44 : x
  2. Step 2: Convert to fraction form
    253,588.68/349,952.38 = 140,411.44/x
  3. Step 3: Cross multiply
    253,588.68x = 349,952.38 × 140,411.44
  4. Step 4: Simplify right side
    253,588.68x = 49,137,317,607.23
  5. Step 5: Solve for x
    x = 49,137,317,607.23/253,588.68
  6. Step 6: Final answer
    x = 193,767.79

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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.