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Finding the Fourth Proportional to 276,059.70, 414,089.55 and 164,085.30

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Solution

The fourth proportional to 276,059.70, 414,089.55 and 164,085.30 is: 246,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,059.70 : 414,089.55 = 164,085.30 : x
  2. Step 2: Convert to fraction form
    276,059.70/414,089.55 = 164,085.30/x
  3. Step 3: Cross multiply
    276,059.70x = 414,089.55 × 164,085.30
  4. Step 4: Simplify right side
    276,059.70x = 67,946,008,038.62
  5. Step 5: Solve for x
    x = 67,946,008,038.62/276,059.70
  6. Step 6: Final answer
    x = 246,127.95

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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.