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Finding the Fourth Proportional to 191,147.20, 286,647.90 and 57,983.20

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Solution

The fourth proportional to 191,147.20, 286,647.90 and 57,983.20 is: 86,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,147.20 : 286,647.90 = 57,983.20 : x
  2. Step 2: Convert to fraction form
    191,147.20/286,647.90 = 57,983.20/x
  3. Step 3: Cross multiply
    191,147.20x = 286,647.90 × 57,983.20
  4. Step 4: Simplify right side
    191,147.20x = 16,620,762,515.28
  5. Step 5: Solve for x
    x = 16,620,762,515.28/191,147.20
  6. Step 6: Final answer
    x = 86,952.69

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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.