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Finding the Fourth Proportional to 192,412.68, 288,647.70 and 59,281.80

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Solution

The fourth proportional to 192,412.68, 288,647.70 and 59,281.80 is: 88,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,412.68 : 288,647.70 = 59,281.80 : x
  2. Step 2: Convert to fraction form
    192,412.68/288,647.70 = 59,281.80/x
  3. Step 3: Cross multiply
    192,412.68x = 288,647.70 × 59,281.80
  4. Step 4: Simplify right side
    192,412.68x = 17,111,555,221.86
  5. Step 5: Solve for x
    x = 17,111,555,221.86/192,412.68
  6. Step 6: Final answer
    x = 88,931.54

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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.