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Finding the Fourth Proportional to 255,966.82, 353,304.45 and 148,571.44

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Solution

The fourth proportional to 255,966.82, 353,304.45 and 148,571.44 is: 205,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,966.82 : 353,304.45 = 148,571.44 : x
  2. Step 2: Convert to fraction form
    255,966.82/353,304.45 = 148,571.44/x
  3. Step 3: Cross multiply
    255,966.82x = 353,304.45 × 148,571.44
  4. Step 4: Simplify right side
    255,966.82x = 52,490,950,011.65
  5. Step 5: Solve for x
    x = 52,490,950,011.65/255,966.82
  6. Step 6: Final answer
    x = 205,069.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.