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Finding the Fourth Proportional to 125,727.14, 188,155.62 and 77,676

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Solution

The fourth proportional to 125,727.14, 188,155.62 and 77,676 is: 116,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,727.14 : 188,155.62 = 77,676 : x
  2. Step 2: Convert to fraction form
    125,727.14/188,155.62 = 77,676/x
  3. Step 3: Cross multiply
    125,727.14x = 188,155.62 × 77,676
  4. Step 4: Simplify right side
    125,727.14x = 14,615,175,939.12
  5. Step 5: Solve for x
    x = 14,615,175,939.12/125,727.14
  6. Step 6: Final answer
    x = 116,245.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.