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Finding the Fourth Proportional to 144,796.20, 217,064.70 and 56,020.20

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Solution

The fourth proportional to 144,796.20, 217,064.70 and 56,020.20 is: 83,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,796.20 : 217,064.70 = 56,020.20 : x
  2. Step 2: Convert to fraction form
    144,796.20/217,064.70 = 56,020.20/x
  3. Step 3: Cross multiply
    144,796.20x = 217,064.70 × 56,020.20
  4. Step 4: Simplify right side
    144,796.20x = 12,160,007,906.94
  5. Step 5: Solve for x
    x = 12,160,007,906.94/144,796.20
  6. Step 6: Final answer
    x = 83,980.16

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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.