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Finding the Fourth Proportional to 165,887.61, 248,831.28 and 41,228.61

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Solution

The fourth proportional to 165,887.61, 248,831.28 and 41,228.61 is: 61,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,887.61 : 248,831.28 = 41,228.61 : x
  2. Step 2: Convert to fraction form
    165,887.61/248,831.28 = 41,228.61/x
  3. Step 3: Cross multiply
    165,887.61x = 248,831.28 × 41,228.61
  4. Step 4: Simplify right side
    165,887.61x = 10,258,967,798.92
  5. Step 5: Solve for x
    x = 10,258,967,798.92/165,887.61
  6. Step 6: Final answer
    x = 61,842.88

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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.