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Finding the Fourth Proportional to 219,944.80, 329,840.40 and 114,728.80

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Solution

The fourth proportional to 219,944.80, 329,840.40 and 114,728.80 is: 172,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,944.80 : 329,840.40 = 114,728.80 : x
  2. Step 2: Convert to fraction form
    219,944.80/329,840.40 = 114,728.80/x
  3. Step 3: Cross multiply
    219,944.80x = 329,840.40 × 114,728.80
  4. Step 4: Simplify right side
    219,944.80x = 37,842,193,283.52
  5. Step 5: Solve for x
    x = 37,842,193,283.52/219,944.80
  6. Step 6: Final answer
    x = 172,053.14

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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.