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Finding the Fourth Proportional to 99,251.82, 136,916.16 and 61,460.46

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Solution

The fourth proportional to 99,251.82, 136,916.16 and 61,460.46 is: 84,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,251.82 : 136,916.16 = 61,460.46 : x
  2. Step 2: Convert to fraction form
    99,251.82/136,916.16 = 61,460.46/x
  3. Step 3: Cross multiply
    99,251.82x = 136,916.16 × 61,460.46
  4. Step 4: Simplify right side
    99,251.82x = 8,414,930,175.03
  5. Step 5: Solve for x
    x = 8,414,930,175.03/99,251.82
  6. Step 6: Final answer
    x = 84,783.64

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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.