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Finding the Fourth Proportional to 212,443.38, 293,160.60 and 116,931.69

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Solution

The fourth proportional to 212,443.38, 293,160.60 and 116,931.69 is: 161,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443.38 : 293,160.60 = 116,931.69 : x
  2. Step 2: Convert to fraction form
    212,443.38/293,160.60 = 116,931.69/x
  3. Step 3: Cross multiply
    212,443.38x = 293,160.60 × 116,931.69
  4. Step 4: Simplify right side
    212,443.38x = 34,279,764,399.41
  5. Step 5: Solve for x
    x = 34,279,764,399.41/212,443.38
  6. Step 6: Final answer
    x = 161,359.53

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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.