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Finding the Fourth Proportional to 191,568.66, 287,376.85 and 65,199.20

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Solution

The fourth proportional to 191,568.66, 287,376.85 and 65,199.20 is: 97,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568.66 : 287,376.85 = 65,199.20 : x
  2. Step 2: Convert to fraction form
    191,568.66/287,376.85 = 65,199.20/x
  3. Step 3: Cross multiply
    191,568.66x = 287,376.85 × 65,199.20
  4. Step 4: Simplify right side
    191,568.66x = 18,736,739,281.64
  5. Step 5: Solve for x
    x = 18,736,739,281.64/191,568.66
  6. Step 6: Final answer
    x = 97,806.91

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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.