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Finding the Fourth Proportional to 191,568.12, 287,352.18 and 65,221.49

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Solution

The fourth proportional to 191,568.12, 287,352.18 and 65,221.49 is: 97,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568.12 : 287,352.18 = 65,221.49 : x
  2. Step 2: Convert to fraction form
    191,568.12/287,352.18 = 65,221.49/x
  3. Step 3: Cross multiply
    191,568.12x = 287,352.18 × 65,221.49
  4. Step 4: Simplify right side
    191,568.12x = 18,741,535,897.59
  5. Step 5: Solve for x
    x = 18,741,535,897.59/191,568.12
  6. Step 6: Final answer
    x = 97,832.23

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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.