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Finding the Fourth Proportional to 99,513.64, 137,231.04 and 84,447.64

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Solution

The fourth proportional to 99,513.64, 137,231.04 and 84,447.64 is: 116,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.64 : 137,231.04 = 84,447.64 : x
  2. Step 2: Convert to fraction form
    99,513.64/137,231.04 = 84,447.64/x
  3. Step 3: Cross multiply
    99,513.64x = 137,231.04 × 84,447.64
  4. Step 4: Simplify right side
    99,513.64x = 11,588,837,462.75
  5. Step 5: Solve for x
    x = 11,588,837,462.75/99,513.64
  6. Step 6: Final answer
    x = 116,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.