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Finding the Fourth Proportional to 178,451.78, 246,284.03 and 106,831.76

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Solution

The fourth proportional to 178,451.78, 246,284.03 and 106,831.76 is: 147,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,451.78 : 246,284.03 = 106,831.76 : x
  2. Step 2: Convert to fraction form
    178,451.78/246,284.03 = 106,831.76/x
  3. Step 3: Cross multiply
    178,451.78x = 246,284.03 × 106,831.76
  4. Step 4: Simplify right side
    178,451.78x = 26,310,955,420.45
  5. Step 5: Solve for x
    x = 26,310,955,420.45/178,451.78
  6. Step 6: Final answer
    x = 147,440.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.