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Finding the Fourth Proportional to 144,652.20, 217,010.70 and 55,897.80

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Solution

The fourth proportional to 144,652.20, 217,010.70 and 55,897.80 is: 83,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652.20 : 217,010.70 = 55,897.80 : x
  2. Step 2: Convert to fraction form
    144,652.20/217,010.70 = 55,897.80/x
  3. Step 3: Cross multiply
    144,652.20x = 217,010.70 × 55,897.80
  4. Step 4: Simplify right side
    144,652.20x = 12,130,420,706.46
  5. Step 5: Solve for x
    x = 12,130,420,706.46/144,652.20
  6. Step 6: Final answer
    x = 83,859.22

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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.