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Finding the Fourth Proportional to 99,544.86, 137,361.92 and 61,298.28

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Solution

The fourth proportional to 99,544.86, 137,361.92 and 61,298.28 is: 84,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,544.86 : 137,361.92 = 61,298.28 : x
  2. Step 2: Convert to fraction form
    99,544.86/137,361.92 = 61,298.28/x
  3. Step 3: Cross multiply
    99,544.86x = 137,361.92 × 61,298.28
  4. Step 4: Simplify right side
    99,544.86x = 8,420,049,433.50
  5. Step 5: Solve for x
    x = 8,420,049,433.50/99,544.86
  6. Step 6: Final answer
    x = 84,585.48

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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.