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Finding the Fourth Proportional to 192,079.40, 288,119.10 and 152,421.80

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Solution

The fourth proportional to 192,079.40, 288,119.10 and 152,421.80 is: 228,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,079.40 : 288,119.10 = 152,421.80 : x
  2. Step 2: Convert to fraction form
    192,079.40/288,119.10 = 152,421.80/x
  3. Step 3: Cross multiply
    192,079.40x = 288,119.10 × 152,421.80
  4. Step 4: Simplify right side
    192,079.40x = 43,915,631,836.38
  5. Step 5: Solve for x
    x = 43,915,631,836.38/192,079.40
  6. Step 6: Final answer
    x = 228,632.70

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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.