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Finding the Fourth Proportional to 178,132.41, 245,817.90 and 101,650.10

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Solution

The fourth proportional to 178,132.41, 245,817.90 and 101,650.10 is: 140,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,132.41 : 245,817.90 = 101,650.10 : x
  2. Step 2: Convert to fraction form
    178,132.41/245,817.90 = 101,650.10/x
  3. Step 3: Cross multiply
    178,132.41x = 245,817.90 × 101,650.10
  4. Step 4: Simplify right side
    178,132.41x = 24,987,412,887.70
  5. Step 5: Solve for x
    x = 24,987,412,887.70/178,132.41
  6. Step 6: Final answer
    x = 140,274.38

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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.