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Finding the Fourth Proportional to 194,808.80, 291,982.80 and 101,266.40

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Solution

The fourth proportional to 194,808.80, 291,982.80 and 101,266.40 is: 151,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808.80 : 291,982.80 = 101,266.40 : x
  2. Step 2: Convert to fraction form
    194,808.80/291,982.80 = 101,266.40/x
  3. Step 3: Cross multiply
    194,808.80x = 291,982.80 × 101,266.40
  4. Step 4: Simplify right side
    194,808.80x = 29,568,047,017.92
  5. Step 5: Solve for x
    x = 29,568,047,017.92/194,808.80
  6. Step 6: Final answer
    x = 151,779.83

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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.