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Finding the Fourth Proportional to 199,618.60, 299,427.90 and 164,189.20

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Solution

The fourth proportional to 199,618.60, 299,427.90 and 164,189.20 is: 246,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,618.60 : 299,427.90 = 164,189.20 : x
  2. Step 2: Convert to fraction form
    199,618.60/299,427.90 = 164,189.20/x
  3. Step 3: Cross multiply
    199,618.60x = 299,427.90 × 164,189.20
  4. Step 4: Simplify right side
    199,618.60x = 49,162,827,358.68
  5. Step 5: Solve for x
    x = 49,162,827,358.68/199,618.60
  6. Step 6: Final answer
    x = 246,283.80

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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.