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Finding the Fourth Proportional to 100,154.45, 138,214.78 and 54,831.68

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Solution

The fourth proportional to 100,154.45, 138,214.78 and 54,831.68 is: 75,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.45 : 138,214.78 = 54,831.68 : x
  2. Step 2: Convert to fraction form
    100,154.45/138,214.78 = 54,831.68/x
  3. Step 3: Cross multiply
    100,154.45x = 138,214.78 × 54,831.68
  4. Step 4: Simplify right side
    100,154.45x = 7,578,547,760.08
  5. Step 5: Solve for x
    x = 7,578,547,760.08/100,154.45
  6. Step 6: Final answer
    x = 75,668.61

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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.