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Finding the Fourth Proportional to 152,996.86, 211,237.32 and 95,722.48

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Solution

The fourth proportional to 152,996.86, 211,237.32 and 95,722.48 is: 132,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,996.86 : 211,237.32 = 95,722.48 : x
  2. Step 2: Convert to fraction form
    152,996.86/211,237.32 = 95,722.48/x
  3. Step 3: Cross multiply
    152,996.86x = 211,237.32 × 95,722.48
  4. Step 4: Simplify right side
    152,996.86x = 20,220,160,138.95
  5. Step 5: Solve for x
    x = 20,220,160,138.95/152,996.86
  6. Step 6: Final answer
    x = 132,160.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.