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Finding the Fourth Proportional to 189,480.88, 261,483.66 and 104,598

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Solution

The fourth proportional to 189,480.88, 261,483.66 and 104,598 is: 144,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,480.88 : 261,483.66 = 104,598 : x
  2. Step 2: Convert to fraction form
    189,480.88/261,483.66 = 104,598/x
  3. Step 3: Cross multiply
    189,480.88x = 261,483.66 × 104,598
  4. Step 4: Simplify right side
    189,480.88x = 27,350,667,868.68
  5. Step 5: Solve for x
    x = 27,350,667,868.68/189,480.88
  6. Step 6: Final answer
    x = 144,345.27

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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.