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Finding the Fourth Proportional to 145,923.80, 218,723.70 and 57,147.80

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Solution

The fourth proportional to 145,923.80, 218,723.70 and 57,147.80 is: 85,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,923.80 : 218,723.70 = 57,147.80 : x
  2. Step 2: Convert to fraction form
    145,923.80/218,723.70 = 57,147.80/x
  3. Step 3: Cross multiply
    145,923.80x = 218,723.70 × 57,147.80
  4. Step 4: Simplify right side
    145,923.80x = 12,499,578,262.86
  5. Step 5: Solve for x
    x = 12,499,578,262.86/145,923.80
  6. Step 6: Final answer
    x = 85,658.26

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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.