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Finding the Fourth Proportional to 177,643.49, 266,482.98 and 51,286.82

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Solution

The fourth proportional to 177,643.49, 266,482.98 and 51,286.82 is: 76,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,643.49 : 266,482.98 = 51,286.82 : x
  2. Step 2: Convert to fraction form
    177,643.49/266,482.98 = 51,286.82/x
  3. Step 3: Cross multiply
    177,643.49x = 266,482.98 × 51,286.82
  4. Step 4: Simplify right side
    177,643.49x = 13,667,063,295.91
  5. Step 5: Solve for x
    x = 13,667,063,295.91/177,643.49
  6. Step 6: Final answer
    x = 76,935.35

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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.