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Finding the Fourth Proportional to 191,568.16, 287,376.10 and 65,198.70

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Solution

The fourth proportional to 191,568.16, 287,376.10 and 65,198.70 is: 97,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568.16 : 287,376.10 = 65,198.70 : x
  2. Step 2: Convert to fraction form
    191,568.16/287,376.10 = 65,198.70/x
  3. Step 3: Cross multiply
    191,568.16x = 287,376.10 × 65,198.70
  4. Step 4: Simplify right side
    191,568.16x = 18,736,546,694.19
  5. Step 5: Solve for x
    x = 18,736,546,694.19/191,568.16
  6. Step 6: Final answer
    x = 97,806.16

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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.