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Finding the Fourth Proportional to 191,462.04, 286,997.04 and 86,354.82

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Solution

The fourth proportional to 191,462.04, 286,997.04 and 86,354.82 is: 129,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,462.04 : 286,997.04 = 86,354.82 : x
  2. Step 2: Convert to fraction form
    191,462.04/286,997.04 = 86,354.82/x
  3. Step 3: Cross multiply
    191,462.04x = 286,997.04 × 86,354.82
  4. Step 4: Simplify right side
    191,462.04x = 24,783,577,729.73
  5. Step 5: Solve for x
    x = 24,783,577,729.73/191,462.04
  6. Step 6: Final answer
    x = 129,443.82

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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.