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Finding the Fourth Proportional to 135,089.04, 202,642.24 and 51,983.04

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Solution

The fourth proportional to 135,089.04, 202,642.24 and 51,983.04 is: 77,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,089.04 : 202,642.24 = 51,983.04 : x
  2. Step 2: Convert to fraction form
    135,089.04/202,642.24 = 51,983.04/x
  3. Step 3: Cross multiply
    135,089.04x = 202,642.24 × 51,983.04
  4. Step 4: Simplify right side
    135,089.04x = 10,533,959,667.61
  5. Step 5: Solve for x
    x = 10,533,959,667.61/135,089.04
  6. Step 6: Final answer
    x = 77,977.90

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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.