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Finding the Fourth Proportional to 131,282, 195,898.56 and 117,144.80

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Solution

The fourth proportional to 131,282, 195,898.56 and 117,144.80 is: 174,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,282 : 195,898.56 = 117,144.80 : x
  2. Step 2: Convert to fraction form
    131,282/195,898.56 = 117,144.80/x
  3. Step 3: Cross multiply
    131,282x = 195,898.56 × 117,144.80
  4. Step 4: Simplify right side
    131,282x = 22,948,497,631.49
  5. Step 5: Solve for x
    x = 22,948,497,631.49/131,282
  6. Step 6: Final answer
    x = 174,803.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.