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Finding the Fourth Proportional to 276,225.94, 414,337.73 and 76,545.75

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Solution

The fourth proportional to 276,225.94, 414,337.73 and 76,545.75 is: 114,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,225.94 : 414,337.73 = 76,545.75 : x
  2. Step 2: Convert to fraction form
    276,225.94/414,337.73 = 76,545.75/x
  3. Step 3: Cross multiply
    276,225.94x = 414,337.73 × 76,545.75
  4. Step 4: Simplify right side
    276,225.94x = 31,715,791,913.42
  5. Step 5: Solve for x
    x = 31,715,791,913.42/276,225.94
  6. Step 6: Final answer
    x = 114,818.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.