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Finding the Fourth Proportional to 125,831.83, 188,589.72 and 75,268.17

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Solution

The fourth proportional to 125,831.83, 188,589.72 and 75,268.17 is: 112,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,831.83 : 188,589.72 = 75,268.17 : x
  2. Step 2: Convert to fraction form
    125,831.83/188,589.72 = 75,268.17/x
  3. Step 3: Cross multiply
    125,831.83x = 188,589.72 × 75,268.17
  4. Step 4: Simplify right side
    125,831.83x = 14,194,803,105.21
  5. Step 5: Solve for x
    x = 14,194,803,105.21/125,831.83
  6. Step 6: Final answer
    x = 112,807.73

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Why These Related Problems?

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