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Finding the Fourth Proportional to 194,640.40, 292,057.80 and 110,465.20

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Solution

The fourth proportional to 194,640.40, 292,057.80 and 110,465.20 is: 165,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640.40 : 292,057.80 = 110,465.20 : x
  2. Step 2: Convert to fraction form
    194,640.40/292,057.80 = 110,465.20/x
  3. Step 3: Cross multiply
    194,640.40x = 292,057.80 × 110,465.20
  4. Step 4: Simplify right side
    194,640.40x = 32,262,223,288.56
  5. Step 5: Solve for x
    x = 32,262,223,288.56/194,640.40
  6. Step 6: Final answer
    x = 165,752.96

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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.