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Finding the Fourth Proportional to 185,233.55, 255,620.88 and 100,350

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Solution

The fourth proportional to 185,233.55, 255,620.88 and 100,350 is: 138,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,233.55 : 255,620.88 = 100,350 : x
  2. Step 2: Convert to fraction form
    185,233.55/255,620.88 = 100,350/x
  3. Step 3: Cross multiply
    185,233.55x = 255,620.88 × 100,350
  4. Step 4: Simplify right side
    185,233.55x = 25,651,555,308
  5. Step 5: Solve for x
    x = 25,651,555,308/185,233.55
  6. Step 6: Final answer
    x = 138,482.23

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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.