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Finding the Fourth Proportional to 252,726.50, 379,111.62 and 65,738

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Solution

The fourth proportional to 252,726.50, 379,111.62 and 65,738 is: 98,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,726.50 : 379,111.62 = 65,738 : x
  2. Step 2: Convert to fraction form
    252,726.50/379,111.62 = 65,738/x
  3. Step 3: Cross multiply
    252,726.50x = 379,111.62 × 65,738
  4. Step 4: Simplify right side
    252,726.50x = 24,922,039,675.56
  5. Step 5: Solve for x
    x = 24,922,039,675.56/252,726.50
  6. Step 6: Final answer
    x = 98,612.69

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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.