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Finding the Fourth Proportional to 276,401.73, 414,702.35 and 96,513.67

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Solution

The fourth proportional to 276,401.73, 414,702.35 and 96,513.67 is: 144,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,401.73 : 414,702.35 = 96,513.67 : x
  2. Step 2: Convert to fraction form
    276,401.73/414,702.35 = 96,513.67/x
  3. Step 3: Cross multiply
    276,401.73x = 414,702.35 × 96,513.67
  4. Step 4: Simplify right side
    276,401.73x = 40,024,446,153.86
  5. Step 5: Solve for x
    x = 40,024,446,153.86/276,401.73
  6. Step 6: Final answer
    x = 144,805.34

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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.