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Finding the Fourth Proportional to 241,264.38, 361,921.41 and 83,492.58

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Solution

The fourth proportional to 241,264.38, 361,921.41 and 83,492.58 is: 125,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,264.38 : 361,921.41 = 83,492.58 : x
  2. Step 2: Convert to fraction form
    241,264.38/361,921.41 = 83,492.58/x
  3. Step 3: Cross multiply
    241,264.38x = 361,921.41 × 83,492.58
  4. Step 4: Simplify right side
    241,264.38x = 30,217,752,278.14
  5. Step 5: Solve for x
    x = 30,217,752,278.14/241,264.38
  6. Step 6: Final answer
    x = 125,247.47

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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.