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Finding the Fourth Proportional to 194,920.80, 292,381.20 and 142,432.80

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Solution

The fourth proportional to 194,920.80, 292,381.20 and 142,432.80 is: 213,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,920.80 : 292,381.20 = 142,432.80 : x
  2. Step 2: Convert to fraction form
    194,920.80/292,381.20 = 142,432.80/x
  3. Step 3: Cross multiply
    194,920.80x = 292,381.20 × 142,432.80
  4. Step 4: Simplify right side
    194,920.80x = 41,644,672,983.36
  5. Step 5: Solve for x
    x = 41,644,672,983.36/194,920.80
  6. Step 6: Final answer
    x = 213,649.20

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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.