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Finding the Fourth Proportional to 306,098.70, 459,148.05 and 164,381.10

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Solution

The fourth proportional to 306,098.70, 459,148.05 and 164,381.10 is: 246,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.70 : 459,148.05 = 164,381.10 : x
  2. Step 2: Convert to fraction form
    306,098.70/459,148.05 = 164,381.10/x
  3. Step 3: Cross multiply
    306,098.70x = 459,148.05 × 164,381.10
  4. Step 4: Simplify right side
    306,098.70x = 75,475,261,521.86
  5. Step 5: Solve for x
    x = 75,475,261,521.86/306,098.70
  6. Step 6: Final answer
    x = 246,571.65

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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.