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Finding the Fourth Proportional to 189,339.84, 261,287.52 and 104,460.48

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Solution

The fourth proportional to 189,339.84, 261,287.52 and 104,460.48 is: 144,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,339.84 : 261,287.52 = 104,460.48 : x
  2. Step 2: Convert to fraction form
    189,339.84/261,287.52 = 104,460.48/x
  3. Step 3: Cross multiply
    189,339.84x = 261,287.52 × 104,460.48
  4. Step 4: Simplify right side
    189,339.84x = 27,294,219,757.21
  5. Step 5: Solve for x
    x = 27,294,219,757.21/189,339.84
  6. Step 6: Final answer
    x = 144,154.66

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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.