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Finding the Fourth Proportional to 82,178, 123,276.72 and 26,774

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Solution

The fourth proportional to 82,178, 123,276.72 and 26,774 is: 40,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178 : 123,276.72 = 26,774 : x
  2. Step 2: Convert to fraction form
    82,178/123,276.72 = 26,774/x
  3. Step 3: Cross multiply
    82,178x = 123,276.72 × 26,774
  4. Step 4: Simplify right side
    82,178x = 3,300,610,901.28
  5. Step 5: Solve for x
    x = 3,300,610,901.28/82,178
  6. Step 6: Final answer
    x = 40,164.17

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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.