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Finding the Fourth Proportional to 135,448.92, 186,905.28 and 75,017.98

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Solution

The fourth proportional to 135,448.92, 186,905.28 and 75,017.98 is: 103,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,448.92 : 186,905.28 = 75,017.98 : x
  2. Step 2: Convert to fraction form
    135,448.92/186,905.28 = 75,017.98/x
  3. Step 3: Cross multiply
    135,448.92x = 186,905.28 × 75,017.98
  4. Step 4: Simplify right side
    135,448.92x = 14,021,256,556.93
  5. Step 5: Solve for x
    x = 14,021,256,556.93/135,448.92
  6. Step 6: Final answer
    x = 103,516.93

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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.