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Finding the Fourth Proportional to 296,110.98, 444,363.30 and 138,351.74

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Solution

The fourth proportional to 296,110.98, 444,363.30 and 138,351.74 is: 207,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,110.98 : 444,363.30 = 138,351.74 : x
  2. Step 2: Convert to fraction form
    296,110.98/444,363.30 = 138,351.74/x
  3. Step 3: Cross multiply
    296,110.98x = 444,363.30 × 138,351.74
  4. Step 4: Simplify right side
    296,110.98x = 61,478,433,525.33
  5. Step 5: Solve for x
    x = 61,478,433,525.33/296,110.98
  6. Step 6: Final answer
    x = 207,619.57

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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.