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Finding the Fourth Proportional to 142,004.99, 211,844.56 and 138,144.02

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Solution

The fourth proportional to 142,004.99, 211,844.56 and 138,144.02 is: 206,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.99 : 211,844.56 = 138,144.02 : x
  2. Step 2: Convert to fraction form
    142,004.99/211,844.56 = 138,144.02/x
  3. Step 3: Cross multiply
    142,004.99x = 211,844.56 × 138,144.02
  4. Step 4: Simplify right side
    142,004.99x = 29,265,059,133.53
  5. Step 5: Solve for x
    x = 29,265,059,133.53/142,004.99
  6. Step 6: Final answer
    x = 206,084.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.