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Finding the Fourth Proportional to 60,149.12, 90,234.68 and 20,164.16

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Solution

The fourth proportional to 60,149.12, 90,234.68 and 20,164.16 is: 30,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,149.12 : 90,234.68 = 20,164.16 : x
  2. Step 2: Convert to fraction form
    60,149.12/90,234.68 = 20,164.16/x
  3. Step 3: Cross multiply
    60,149.12x = 90,234.68 × 20,164.16
  4. Step 4: Simplify right side
    60,149.12x = 1,819,506,525.07
  5. Step 5: Solve for x
    x = 1,819,506,525.07/60,149.12
  6. Step 6: Final answer
    x = 30,249.93

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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.