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Finding the Fourth Proportional to 194,809.30, 291,983.55 and 101,266.90

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Solution

The fourth proportional to 194,809.30, 291,983.55 and 101,266.90 is: 151,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809.30 : 291,983.55 = 101,266.90 : x
  2. Step 2: Convert to fraction form
    194,809.30/291,983.55 = 101,266.90/x
  3. Step 3: Cross multiply
    194,809.30x = 291,983.55 × 101,266.90
  4. Step 4: Simplify right side
    194,809.30x = 29,568,268,959.50
  5. Step 5: Solve for x
    x = 29,568,268,959.50/194,809.30
  6. Step 6: Final answer
    x = 151,780.58

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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.