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Finding the Fourth Proportional to 189,491.92, 261,491.94 and 104,607.16

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Solution

The fourth proportional to 189,491.92, 261,491.94 and 104,607.16 is: 144,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,491.92 : 261,491.94 = 104,607.16 : x
  2. Step 2: Convert to fraction form
    189,491.92/261,491.94 = 104,607.16/x
  3. Step 3: Cross multiply
    189,491.92x = 261,491.94 × 104,607.16
  4. Step 4: Simplify right side
    189,491.92x = 27,353,929,206.29
  5. Step 5: Solve for x
    x = 27,353,929,206.29/189,491.92
  6. Step 6: Final answer
    x = 144,354.07

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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.