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Finding the Fourth Proportional to 185,401.38, 255,854.46 and 100,518.48

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Solution

The fourth proportional to 185,401.38, 255,854.46 and 100,518.48 is: 138,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,401.38 : 255,854.46 = 100,518.48 : x
  2. Step 2: Convert to fraction form
    185,401.38/255,854.46 = 100,518.48/x
  3. Step 3: Cross multiply
    185,401.38x = 255,854.46 × 100,518.48
  4. Step 4: Simplify right side
    185,401.38x = 25,718,101,420.42
  5. Step 5: Solve for x
    x = 25,718,101,420.42/185,401.38
  6. Step 6: Final answer
    x = 138,715.80

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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.