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Finding the Fourth Proportional to 187,994.16, 281,925.54 and 75,645.23

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Solution

The fourth proportional to 187,994.16, 281,925.54 and 75,645.23 is: 113,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,994.16 : 281,925.54 = 75,645.23 : x
  2. Step 2: Convert to fraction form
    187,994.16/281,925.54 = 75,645.23/x
  3. Step 3: Cross multiply
    187,994.16x = 281,925.54 × 75,645.23
  4. Step 4: Simplify right side
    187,994.16x = 21,326,320,906.55
  5. Step 5: Solve for x
    x = 21,326,320,906.55/187,994.16
  6. Step 6: Final answer
    x = 113,441.40

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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.