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Finding the Fourth Proportional to 164,905.20, 247,188.92 and 65,024.91

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Solution

The fourth proportional to 164,905.20, 247,188.92 and 65,024.91 is: 97,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,905.20 : 247,188.92 = 65,024.91 : x
  2. Step 2: Convert to fraction form
    164,905.20/247,188.92 = 65,024.91/x
  3. Step 3: Cross multiply
    164,905.20x = 247,188.92 × 65,024.91
  4. Step 4: Simplify right side
    164,905.20x = 16,073,436,950.87
  5. Step 5: Solve for x
    x = 16,073,436,950.87/164,905.20
  6. Step 6: Final answer
    x = 97,470.77

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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.