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Finding the Fourth Proportional to 212,355.78, 293,050.86 and 116,861.94

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Solution

The fourth proportional to 212,355.78, 293,050.86 and 116,861.94 is: 161,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,355.78 : 293,050.86 = 116,861.94 : x
  2. Step 2: Convert to fraction form
    212,355.78/293,050.86 = 116,861.94/x
  3. Step 3: Cross multiply
    212,355.78x = 293,050.86 × 116,861.94
  4. Step 4: Simplify right side
    212,355.78x = 34,246,492,237.38
  5. Step 5: Solve for x
    x = 34,246,492,237.38/212,355.78
  6. Step 6: Final answer
    x = 161,269.42

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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.