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Finding the Fourth Proportional to 219,773.20, 329,659.80 and 190,904.80

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Solution

The fourth proportional to 219,773.20, 329,659.80 and 190,904.80 is: 286,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,773.20 : 329,659.80 = 190,904.80 : x
  2. Step 2: Convert to fraction form
    219,773.20/329,659.80 = 190,904.80/x
  3. Step 3: Cross multiply
    219,773.20x = 329,659.80 × 190,904.80
  4. Step 4: Simplify right side
    219,773.20x = 62,933,638,187.04
  5. Step 5: Solve for x
    x = 62,933,638,187.04/219,773.20
  6. Step 6: Final answer
    x = 286,357.20

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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.