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Finding the Fourth Proportional to 161,723.52, 242,667.84 and 67,025.28

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Solution

The fourth proportional to 161,723.52, 242,667.84 and 67,025.28 is: 100,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,723.52 : 242,667.84 = 67,025.28 : x
  2. Step 2: Convert to fraction form
    161,723.52/242,667.84 = 67,025.28/x
  3. Step 3: Cross multiply
    161,723.52x = 242,667.84 × 67,025.28
  4. Step 4: Simplify right side
    161,723.52x = 16,264,879,923.00
  5. Step 5: Solve for x
    x = 16,264,879,923.00/161,723.52
  6. Step 6: Final answer
    x = 100,572.14

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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.