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Finding the Fourth Proportional to 199,071.52, 298,542.96 and 65,927.20

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Solution

The fourth proportional to 199,071.52, 298,542.96 and 65,927.20 is: 98,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,071.52 : 298,542.96 = 65,927.20 : x
  2. Step 2: Convert to fraction form
    199,071.52/298,542.96 = 65,927.20/x
  3. Step 3: Cross multiply
    199,071.52x = 298,542.96 × 65,927.20
  4. Step 4: Simplify right side
    199,071.52x = 19,682,101,432.51
  5. Step 5: Solve for x
    x = 19,682,101,432.51/199,071.52
  6. Step 6: Final answer
    x = 98,869.50

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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.