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Finding the Fourth Proportional to 276,225.19, 414,336.60 and 76,545

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Solution

The fourth proportional to 276,225.19, 414,336.60 and 76,545 is: 114,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,225.19 : 414,336.60 = 76,545 : x
  2. Step 2: Convert to fraction form
    276,225.19/414,336.60 = 76,545/x
  3. Step 3: Cross multiply
    276,225.19x = 414,336.60 × 76,545
  4. Step 4: Simplify right side
    276,225.19x = 31,715,395,047
  5. Step 5: Solve for x
    x = 31,715,395,047/276,225.19
  6. Step 6: Final answer
    x = 114,817.17

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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.