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Finding the Fourth Proportional to 144,800.80, 217,042.80 and 51,258.40

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Solution

The fourth proportional to 144,800.80, 217,042.80 and 51,258.40 is: 76,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,800.80 : 217,042.80 = 51,258.40 : x
  2. Step 2: Convert to fraction form
    144,800.80/217,042.80 = 51,258.40/x
  3. Step 3: Cross multiply
    144,800.80x = 217,042.80 × 51,258.40
  4. Step 4: Simplify right side
    144,800.80x = 11,125,266,659.52
  5. Step 5: Solve for x
    x = 11,125,266,659.52/144,800.80
  6. Step 6: Final answer
    x = 76,831.53

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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.