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Finding the Fourth Proportional to 189,097.92, 260,955.14 and 104,215.01

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Solution

The fourth proportional to 189,097.92, 260,955.14 and 104,215.01 is: 143,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,097.92 : 260,955.14 = 104,215.01 : x
  2. Step 2: Convert to fraction form
    189,097.92/260,955.14 = 104,215.01/x
  3. Step 3: Cross multiply
    189,097.92x = 260,955.14 × 104,215.01
  4. Step 4: Simplify right side
    189,097.92x = 27,195,440,698.80
  5. Step 5: Solve for x
    x = 27,195,440,698.80/189,097.92
  6. Step 6: Final answer
    x = 143,816.71

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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.