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Finding the Fourth Proportional to 189,897.78, 262,065.33 and 105,009.78

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Solution

The fourth proportional to 189,897.78, 262,065.33 and 105,009.78 is: 144,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.78 : 262,065.33 = 105,009.78 : x
  2. Step 2: Convert to fraction form
    189,897.78/262,065.33 = 105,009.78/x
  3. Step 3: Cross multiply
    189,897.78x = 262,065.33 × 105,009.78
  4. Step 4: Simplify right side
    189,897.78x = 27,519,422,648.93
  5. Step 5: Solve for x
    x = 27,519,422,648.93/189,897.78
  6. Step 6: Final answer
    x = 144,917.03

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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.