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Finding the Fourth Proportional to 192,309.48, 288,072.54 and 156,897

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Solution

The fourth proportional to 192,309.48, 288,072.54 and 156,897 is: 235,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,309.48 : 288,072.54 = 156,897 : x
  2. Step 2: Convert to fraction form
    192,309.48/288,072.54 = 156,897/x
  3. Step 3: Cross multiply
    192,309.48x = 288,072.54 × 156,897
  4. Step 4: Simplify right side
    192,309.48x = 45,197,717,308.38
  5. Step 5: Solve for x
    x = 45,197,717,308.38/192,309.48
  6. Step 6: Final answer
    x = 235,025.95

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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.