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Finding the Fourth Proportional to 223,782.75, 335,674.13 and 76,038.75

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Solution

The fourth proportional to 223,782.75, 335,674.13 and 76,038.75 is: 114,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,782.75 : 335,674.13 = 76,038.75 : x
  2. Step 2: Convert to fraction form
    223,782.75/335,674.13 = 76,038.75/x
  3. Step 3: Cross multiply
    223,782.75x = 335,674.13 × 76,038.75
  4. Step 4: Simplify right side
    223,782.75x = 25,524,240,872.34
  5. Step 5: Solve for x
    x = 25,524,240,872.34/223,782.75
  6. Step 6: Final answer
    x = 114,058.13

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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.