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Finding the Fourth Proportional to 143,077.62, 214,470.63 and 64,170.66

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Solution

The fourth proportional to 143,077.62, 214,470.63 and 64,170.66 is: 96,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,077.62 : 214,470.63 = 64,170.66 : x
  2. Step 2: Convert to fraction form
    143,077.62/214,470.63 = 64,170.66/x
  3. Step 3: Cross multiply
    143,077.62x = 214,470.63 × 64,170.66
  4. Step 4: Simplify right side
    143,077.62x = 13,762,721,877.72
  5. Step 5: Solve for x
    x = 13,762,721,877.72/143,077.62
  6. Step 6: Final answer
    x = 96,190.60

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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.