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Finding the Fourth Proportional to 189,806.31, 261,921.47 and 104,918.31

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Solution

The fourth proportional to 189,806.31, 261,921.47 and 104,918.31 is: 144,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,806.31 : 261,921.47 = 104,918.31 : x
  2. Step 2: Convert to fraction form
    189,806.31/261,921.47 = 104,918.31/x
  3. Step 3: Cross multiply
    189,806.31x = 261,921.47 × 104,918.31
  4. Step 4: Simplify right side
    189,806.31x = 27,480,357,460.52
  5. Step 5: Solve for x
    x = 27,480,357,460.52/189,806.31
  6. Step 6: Final answer
    x = 144,781.05

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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.