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Finding the Fourth Proportional to 100,154.39, 138,214.69 and 54,831.61

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Solution

The fourth proportional to 100,154.39, 138,214.69 and 54,831.61 is: 75,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.39 : 138,214.69 = 54,831.61 : x
  2. Step 2: Convert to fraction form
    100,154.39/138,214.69 = 54,831.61/x
  3. Step 3: Cross multiply
    100,154.39x = 138,214.69 × 54,831.61
  4. Step 4: Simplify right side
    100,154.39x = 7,578,534,014.04
  5. Step 5: Solve for x
    x = 7,578,534,014.04/100,154.39
  6. Step 6: Final answer
    x = 75,668.52

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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.