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Finding the Fourth Proportional to 205,522, 308,283 and 57,778

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Solution

The fourth proportional to 205,522, 308,283 and 57,778 is: 86,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,522 : 308,283 = 57,778 : x
  2. Step 2: Convert to fraction form
    205,522/308,283 = 57,778/x
  3. Step 3: Cross multiply
    205,522x = 308,283 × 57,778
  4. Step 4: Simplify right side
    205,522x = 17,811,975,174
  5. Step 5: Solve for x
    x = 17,811,975,174/205,522
  6. Step 6: Final answer
    x = 86,667

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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.