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Finding the Fourth Proportional to 193,411.20, 290,116.80 and 110,467.20

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Solution

The fourth proportional to 193,411.20, 290,116.80 and 110,467.20 is: 165,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,411.20 : 290,116.80 = 110,467.20 : x
  2. Step 2: Convert to fraction form
    193,411.20/290,116.80 = 110,467.20/x
  3. Step 3: Cross multiply
    193,411.20x = 290,116.80 × 110,467.20
  4. Step 4: Simplify right side
    193,411.20x = 32,048,390,568.96
  5. Step 5: Solve for x
    x = 32,048,390,568.96/193,411.20
  6. Step 6: Final answer
    x = 165,700.80

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1.5x scale

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.