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Finding the Fourth Proportional to 276,036.66, 414,054.50 and 86,511.60

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Solution

The fourth proportional to 276,036.66, 414,054.50 and 86,511.60 is: 129,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,036.66 : 414,054.50 = 86,511.60 : x
  2. Step 2: Convert to fraction form
    276,036.66/414,054.50 = 86,511.60/x
  3. Step 3: Cross multiply
    276,036.66x = 414,054.50 × 86,511.60
  4. Step 4: Simplify right side
    276,036.66x = 35,820,516,849.64
  5. Step 5: Solve for x
    x = 35,820,516,849.64/276,036.66
  6. Step 6: Final answer
    x = 129,767.24

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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.