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Finding the Fourth Proportional to 109,195.94, 150,690.31 and 61,449.32

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Solution

The fourth proportional to 109,195.94, 150,690.31 and 61,449.32 is: 84,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.94 : 150,690.31 = 61,449.32 : x
  2. Step 2: Convert to fraction form
    109,195.94/150,690.31 = 61,449.32/x
  3. Step 3: Cross multiply
    109,195.94x = 150,690.31 × 61,449.32
  4. Step 4: Simplify right side
    109,195.94x = 9,259,817,303.19
  5. Step 5: Solve for x
    x = 9,259,817,303.19/109,195.94
  6. Step 6: Final answer
    x = 84,800.01

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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.