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Finding the Fourth Proportional to 114,187.57, 157,565.70 and 65,796.55

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Solution

The fourth proportional to 114,187.57, 157,565.70 and 65,796.55 is: 90,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,187.57 : 157,565.70 = 65,796.55 : x
  2. Step 2: Convert to fraction form
    114,187.57/157,565.70 = 65,796.55/x
  3. Step 3: Cross multiply
    114,187.57x = 157,565.70 × 65,796.55
  4. Step 4: Simplify right side
    114,187.57x = 10,367,280,016.74
  5. Step 5: Solve for x
    x = 10,367,280,016.74/114,187.57
  6. Step 6: Final answer
    x = 90,791.67

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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.