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Finding the Fourth Proportional to 102,091.38, 140,889.15 and 61,812.51

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Solution

The fourth proportional to 102,091.38, 140,889.15 and 61,812.51 is: 85,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091.38 : 140,889.15 = 61,812.51 : x
  2. Step 2: Convert to fraction form
    102,091.38/140,889.15 = 61,812.51/x
  3. Step 3: Cross multiply
    102,091.38x = 140,889.15 × 61,812.51
  4. Step 4: Simplify right side
    102,091.38x = 8,708,711,993.27
  5. Step 5: Solve for x
    x = 8,708,711,993.27/102,091.38
  6. Step 6: Final answer
    x = 85,303.11

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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.