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Finding the Fourth Proportional to 250,231.68, 345,320.01 and 137,052

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Solution

The fourth proportional to 250,231.68, 345,320.01 and 137,052 is: 189,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,231.68 : 345,320.01 = 137,052 : x
  2. Step 2: Convert to fraction form
    250,231.68/345,320.01 = 137,052/x
  3. Step 3: Cross multiply
    250,231.68x = 345,320.01 × 137,052
  4. Step 4: Simplify right side
    250,231.68x = 47,326,798,010.52
  5. Step 5: Solve for x
    x = 47,326,798,010.52/250,231.68
  6. Step 6: Final answer
    x = 189,131.92

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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.