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Finding the Fourth Proportional to 144,934.20, 217,439.70 and 51,430.20

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Solution

The fourth proportional to 144,934.20, 217,439.70 and 51,430.20 is: 77,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,934.20 : 217,439.70 = 51,430.20 : x
  2. Step 2: Convert to fraction form
    144,934.20/217,439.70 = 51,430.20/x
  3. Step 3: Cross multiply
    144,934.20x = 217,439.70 × 51,430.20
  4. Step 4: Simplify right side
    144,934.20x = 11,182,967,258.94
  5. Step 5: Solve for x
    x = 11,182,967,258.94/144,934.20
  6. Step 6: Final answer
    x = 77,158.93

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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.