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Finding the Fourth Proportional to 191,464.53, 287,227.96 and 56,542.25

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Solution

The fourth proportional to 191,464.53, 287,227.96 and 56,542.25 is: 84,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,464.53 : 287,227.96 = 56,542.25 : x
  2. Step 2: Convert to fraction form
    191,464.53/287,227.96 = 56,542.25/x
  3. Step 3: Cross multiply
    191,464.53x = 287,227.96 × 56,542.25
  4. Step 4: Simplify right side
    191,464.53x = 16,240,513,685.17
  5. Step 5: Solve for x
    x = 16,240,513,685.17/191,464.53
  6. Step 6: Final answer
    x = 84,822.57

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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.