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Finding the Fourth Proportional to 158,309.76, 218,569.44 and 141,284.64

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Solution

The fourth proportional to 158,309.76, 218,569.44 and 141,284.64 is: 195,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,309.76 : 218,569.44 = 141,284.64 : x
  2. Step 2: Convert to fraction form
    158,309.76/218,569.44 = 141,284.64/x
  3. Step 3: Cross multiply
    158,309.76x = 218,569.44 × 141,284.64
  4. Step 4: Simplify right side
    158,309.76x = 30,880,504,645.40
  5. Step 5: Solve for x
    x = 30,880,504,645.40/158,309.76
  6. Step 6: Final answer
    x = 195,063.81

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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.