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Finding the Fourth Proportional to 206,672, 310,010.88 and 58,928

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Solution

The fourth proportional to 206,672, 310,010.88 and 58,928 is: 88,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,672 : 310,010.88 = 58,928 : x
  2. Step 2: Convert to fraction form
    206,672/310,010.88 = 58,928/x
  3. Step 3: Cross multiply
    206,672x = 310,010.88 × 58,928
  4. Step 4: Simplify right side
    206,672x = 18,268,321,136.64
  5. Step 5: Solve for x
    x = 18,268,321,136.64/206,672
  6. Step 6: Final answer
    x = 88,392.82

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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.