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Finding the Fourth Proportional to 142,701.80, 214,034.18 and 53,943.74

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Solution

The fourth proportional to 142,701.80, 214,034.18 and 53,943.74 is: 80,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,701.80 : 214,034.18 = 53,943.74 : x
  2. Step 2: Convert to fraction form
    142,701.80/214,034.18 = 53,943.74/x
  3. Step 3: Cross multiply
    142,701.80x = 214,034.18 × 53,943.74
  4. Step 4: Simplify right side
    142,701.80x = 11,545,804,157.03
  5. Step 5: Solve for x
    x = 11,545,804,157.03/142,701.80
  6. Step 6: Final answer
    x = 80,908.61

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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.