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Finding the Fourth Proportional to 219,942.60, 329,695.20 and 101,407.20

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Solution

The fourth proportional to 219,942.60, 329,695.20 and 101,407.20 is: 152,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,942.60 : 329,695.20 = 101,407.20 : x
  2. Step 2: Convert to fraction form
    219,942.60/329,695.20 = 101,407.20/x
  3. Step 3: Cross multiply
    219,942.60x = 329,695.20 × 101,407.20
  4. Step 4: Simplify right side
    219,942.60x = 33,433,467,085.44
  5. Step 5: Solve for x
    x = 33,433,467,085.44/219,942.60
  6. Step 6: Final answer
    x = 152,009.97

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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.