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Finding the Fourth Proportional to 142,816.68, 214,150.14 and 49,300.20

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Solution

The fourth proportional to 142,816.68, 214,150.14 and 49,300.20 is: 73,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,816.68 : 214,150.14 = 49,300.20 : x
  2. Step 2: Convert to fraction form
    142,816.68/214,150.14 = 49,300.20/x
  3. Step 3: Cross multiply
    142,816.68x = 214,150.14 × 49,300.20
  4. Step 4: Simplify right side
    142,816.68x = 10,557,644,732.03
  5. Step 5: Solve for x
    x = 10,557,644,732.03/142,816.68
  6. Step 6: Final answer
    x = 73,924.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.