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Finding the Fourth Proportional to 142,844.52, 214,285.08 and 48,034.08

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Solution

The fourth proportional to 142,844.52, 214,285.08 and 48,034.08 is: 72,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,844.52 : 214,285.08 = 48,034.08 : x
  2. Step 2: Convert to fraction form
    142,844.52/214,285.08 = 48,034.08/x
  3. Step 3: Cross multiply
    142,844.52x = 214,285.08 × 48,034.08
  4. Step 4: Simplify right side
    142,844.52x = 10,292,986,675.53
  5. Step 5: Solve for x
    x = 10,292,986,675.53/142,844.52
  6. Step 6: Final answer
    x = 72,057.27

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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.