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Finding the Fourth Proportional to 212,590.38, 293,363.46 and 117,078.96

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Solution

The fourth proportional to 212,590.38, 293,363.46 and 117,078.96 is: 161,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,590.38 : 293,363.46 = 117,078.96 : x
  2. Step 2: Convert to fraction form
    212,590.38/293,363.46 = 117,078.96/x
  3. Step 3: Cross multiply
    212,590.38x = 293,363.46 × 117,078.96
  4. Step 4: Simplify right side
    212,590.38x = 34,346,688,798.80
  5. Step 5: Solve for x
    x = 34,346,688,798.80/212,590.38
  6. Step 6: Final answer
    x = 161,562.76

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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.