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Finding the Fourth Proportional to 194,891.12, 292,161.68 and 161,823.68

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Solution

The fourth proportional to 194,891.12, 292,161.68 and 161,823.68 is: 242,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,891.12 : 292,161.68 = 161,823.68 : x
  2. Step 2: Convert to fraction form
    194,891.12/292,161.68 = 161,823.68/x
  3. Step 3: Cross multiply
    194,891.12x = 292,161.68 × 161,823.68
  4. Step 4: Simplify right side
    194,891.12x = 47,278,678,212.58
  5. Step 5: Solve for x
    x = 47,278,678,212.58/194,891.12
  6. Step 6: Final answer
    x = 242,590.21

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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.