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Finding the Fourth Proportional to 114,833.69, 158,470.79 and 63,845

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Solution

The fourth proportional to 114,833.69, 158,470.79 and 63,845 is: 88,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,833.69 : 158,470.79 = 63,845 : x
  2. Step 2: Convert to fraction form
    114,833.69/158,470.79 = 63,845/x
  3. Step 3: Cross multiply
    114,833.69x = 158,470.79 × 63,845
  4. Step 4: Simplify right side
    114,833.69x = 10,117,567,587.55
  5. Step 5: Solve for x
    x = 10,117,567,587.55/114,833.69
  6. Step 6: Final answer
    x = 88,106.27

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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.