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Finding the Fourth Proportional to 82,726.25, 123,153.80 and 82,234.17

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Solution

The fourth proportional to 82,726.25, 123,153.80 and 82,234.17 is: 122,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,726.25 : 123,153.80 = 82,234.17 : x
  2. Step 2: Convert to fraction form
    82,726.25/123,153.80 = 82,234.17/x
  3. Step 3: Cross multiply
    82,726.25x = 123,153.80 × 82,234.17
  4. Step 4: Simplify right side
    82,726.25x = 10,127,450,114.18
  5. Step 5: Solve for x
    x = 10,127,450,114.18/82,726.25
  6. Step 6: Final answer
    x = 122,421.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.