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Finding the Fourth Proportional to 205,536, 308,304.12 and 57,792

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Solution

The fourth proportional to 205,536, 308,304.12 and 57,792 is: 86,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,536 : 308,304.12 = 57,792 : x
  2. Step 2: Convert to fraction form
    205,536/308,304.12 = 57,792/x
  3. Step 3: Cross multiply
    205,536x = 308,304.12 × 57,792
  4. Step 4: Simplify right side
    205,536x = 17,817,511,703.04
  5. Step 5: Solve for x
    x = 17,817,511,703.04/205,536
  6. Step 6: Final answer
    x = 86,688.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.