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Finding the Fourth Proportional to 219,763.84, 329,643.24 and 53,551.84

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Solution

The fourth proportional to 219,763.84, 329,643.24 and 53,551.84 is: 80,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,763.84 : 329,643.24 = 53,551.84 : x
  2. Step 2: Convert to fraction form
    219,763.84/329,643.24 = 53,551.84/x
  3. Step 3: Cross multiply
    219,763.84x = 329,643.24 × 53,551.84
  4. Step 4: Simplify right side
    219,763.84x = 17,653,002,045.56
  5. Step 5: Solve for x
    x = 17,653,002,045.56/219,763.84
  6. Step 6: Final answer
    x = 80,327.15

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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.