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Finding the Fourth Proportional to 158,315.82, 218,465.82 and 86,696.70

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Solution

The fourth proportional to 158,315.82, 218,465.82 and 86,696.70 is: 119,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,315.82 : 218,465.82 = 86,696.70 : x
  2. Step 2: Convert to fraction form
    158,315.82/218,465.82 = 86,696.70/x
  3. Step 3: Cross multiply
    158,315.82x = 218,465.82 × 86,696.70
  4. Step 4: Simplify right side
    158,315.82x = 18,940,265,656.79
  5. Step 5: Solve for x
    x = 18,940,265,656.79/158,315.82
  6. Step 6: Final answer
    x = 119,635.96

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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.