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Finding the Fourth Proportional to 219,759.84, 329,637.24 and 53,547.84

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Solution

The fourth proportional to 219,759.84, 329,637.24 and 53,547.84 is: 80,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,759.84 : 329,637.24 = 53,547.84 : x
  2. Step 2: Convert to fraction form
    219,759.84/329,637.24 = 53,547.84/x
  3. Step 3: Cross multiply
    219,759.84x = 329,637.24 × 53,547.84
  4. Step 4: Simplify right side
    219,759.84x = 17,651,362,185.56
  5. Step 5: Solve for x
    x = 17,651,362,185.56/219,759.84
  6. Step 6: Final answer
    x = 80,321.15

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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.