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Finding the Fourth Proportional to 191,896.81, 287,843.19 and 65,535.61

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Solution

The fourth proportional to 191,896.81, 287,843.19 and 65,535.61 is: 98,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,896.81 : 287,843.19 = 65,535.61 : x
  2. Step 2: Convert to fraction form
    191,896.81/287,843.19 = 65,535.61/x
  3. Step 3: Cross multiply
    191,896.81x = 287,843.19 × 65,535.61
  4. Step 4: Simplify right side
    191,896.81x = 18,863,979,041.00
  5. Step 5: Solve for x
    x = 18,863,979,041.00/191,896.81
  6. Step 6: Final answer
    x = 98,302.72

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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.