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Finding the Fourth Proportional to 223,396.75, 335,095.14 and 57,184.75

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Solution

The fourth proportional to 223,396.75, 335,095.14 and 57,184.75 is: 85,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,396.75 : 335,095.14 = 57,184.75 : x
  2. Step 2: Convert to fraction form
    223,396.75/335,095.14 = 57,184.75/x
  3. Step 3: Cross multiply
    223,396.75x = 335,095.14 × 57,184.75
  4. Step 4: Simplify right side
    223,396.75x = 19,162,331,807.12
  5. Step 5: Solve for x
    x = 19,162,331,807.12/223,396.75
  6. Step 6: Final answer
    x = 85,777.13

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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.