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Finding the Fourth Proportional to 185,222.16, 277,831.17 and 44,980.92

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Solution

The fourth proportional to 185,222.16, 277,831.17 and 44,980.92 is: 67,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,222.16 : 277,831.17 = 44,980.92 : x
  2. Step 2: Convert to fraction form
    185,222.16/277,831.17 = 44,980.92/x
  3. Step 3: Cross multiply
    185,222.16x = 277,831.17 × 44,980.92
  4. Step 4: Simplify right side
    185,222.16x = 12,497,101,631.28
  5. Step 5: Solve for x
    x = 12,497,101,631.28/185,222.16
  6. Step 6: Final answer
    x = 67,470.88

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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.