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Finding the Fourth Proportional to 164,049.60, 245,939.40 and 74,098.20

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Solution

The fourth proportional to 164,049.60, 245,939.40 and 74,098.20 is: 111,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049.60 : 245,939.40 = 74,098.20 : x
  2. Step 2: Convert to fraction form
    164,049.60/245,939.40 = 74,098.20/x
  3. Step 3: Cross multiply
    164,049.60x = 245,939.40 × 74,098.20
  4. Step 4: Simplify right side
    164,049.60x = 18,223,666,849.08
  5. Step 5: Solve for x
    x = 18,223,666,849.08/164,049.60
  6. Step 6: Final answer
    x = 111,086.32

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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.