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Finding the Fourth Proportional to 164,902.20, 247,061.70 and 139,824.60

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Solution

The fourth proportional to 164,902.20, 247,061.70 and 139,824.60 is: 209,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.20 : 247,061.70 = 139,824.60 : x
  2. Step 2: Convert to fraction form
    164,902.20/247,061.70 = 139,824.60/x
  3. Step 3: Cross multiply
    164,902.20x = 247,061.70 × 139,824.60
  4. Step 4: Simplify right side
    164,902.20x = 34,545,303,377.82
  5. Step 5: Solve for x
    x = 34,545,303,377.82/164,902.20
  6. Step 6: Final answer
    x = 209,489.65

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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.