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Finding the Fourth Proportional to 271,752.45, 375,016.32 and 150,894.15

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Solution

The fourth proportional to 271,752.45, 375,016.32 and 150,894.15 is: 208,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,752.45 : 375,016.32 = 150,894.15 : x
  2. Step 2: Convert to fraction form
    271,752.45/375,016.32 = 150,894.15/x
  3. Step 3: Cross multiply
    271,752.45x = 375,016.32 × 150,894.15
  4. Step 4: Simplify right side
    271,752.45x = 56,587,768,842.53
  5. Step 5: Solve for x
    x = 56,587,768,842.53/271,752.45
  6. Step 6: Final answer
    x = 208,232.78

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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.