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Finding the Fourth Proportional to 113,811.76, 157,076.04 and 63,514

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Solution

The fourth proportional to 113,811.76, 157,076.04 and 63,514 is: 87,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,811.76 : 157,076.04 = 63,514 : x
  2. Step 2: Convert to fraction form
    113,811.76/157,076.04 = 63,514/x
  3. Step 3: Cross multiply
    113,811.76x = 157,076.04 × 63,514
  4. Step 4: Simplify right side
    113,811.76x = 9,976,527,604.56
  5. Step 5: Solve for x
    x = 9,976,527,604.56/113,811.76
  6. Step 6: Final answer
    x = 87,658.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.