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Finding the Fourth Proportional to 114,288.61, 157,704.81 and 65,890

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Solution

The fourth proportional to 114,288.61, 157,704.81 and 65,890 is: 90,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288.61 : 157,704.81 = 65,890 : x
  2. Step 2: Convert to fraction form
    114,288.61/157,704.81 = 65,890/x
  3. Step 3: Cross multiply
    114,288.61x = 157,704.81 × 65,890
  4. Step 4: Simplify right side
    114,288.61x = 10,391,169,930.90
  5. Step 5: Solve for x
    x = 10,391,169,930.90/114,288.61
  6. Step 6: Final answer
    x = 90,920.43

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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.