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Finding the Fourth Proportional to 214,014.70, 320,946.30 and 62,180.20

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Solution

The fourth proportional to 214,014.70, 320,946.30 and 62,180.20 is: 93,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,014.70 : 320,946.30 = 62,180.20 : x
  2. Step 2: Convert to fraction form
    214,014.70/320,946.30 = 62,180.20/x
  3. Step 3: Cross multiply
    214,014.70x = 320,946.30 × 62,180.20
  4. Step 4: Simplify right side
    214,014.70x = 19,956,505,123.26
  5. Step 5: Solve for x
    x = 19,956,505,123.26/214,014.70
  6. Step 6: Final answer
    x = 93,248.29

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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.