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Finding the Fourth Proportional to 189,098.92, 260,956.52 and 104,216.01

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Solution

The fourth proportional to 189,098.92, 260,956.52 and 104,216.01 is: 143,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.92 : 260,956.52 = 104,216.01 : x
  2. Step 2: Convert to fraction form
    189,098.92/260,956.52 = 104,216.01/x
  3. Step 3: Cross multiply
    189,098.92x = 260,956.52 × 104,216.01
  4. Step 4: Simplify right side
    189,098.92x = 27,195,847,297.89
  5. Step 5: Solve for x
    x = 27,195,847,297.89/189,098.92
  6. Step 6: Final answer
    x = 143,818.10

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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.