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Finding the Fourth Proportional to 306,642.99, 459,932.13 and 82,026.10

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Solution

The fourth proportional to 306,642.99, 459,932.13 and 82,026.10 is: 123,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.99 : 459,932.13 = 82,026.10 : x
  2. Step 2: Convert to fraction form
    306,642.99/459,932.13 = 82,026.10/x
  3. Step 3: Cross multiply
    306,642.99x = 459,932.13 × 82,026.10
  4. Step 4: Simplify right side
    306,642.99x = 37,726,437,738.76
  5. Step 5: Solve for x
    x = 37,726,437,738.76/306,642.99
  6. Step 6: Final answer
    x = 123,030.49

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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.