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Finding the Fourth Proportional to 191,282.56, 263,969.16 and 106,399.64

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Solution

The fourth proportional to 191,282.56, 263,969.16 and 106,399.64 is: 146,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,282.56 : 263,969.16 = 106,399.64 : x
  2. Step 2: Convert to fraction form
    191,282.56/263,969.16 = 106,399.64/x
  3. Step 3: Cross multiply
    191,282.56x = 263,969.16 × 106,399.64
  4. Step 4: Simplify right side
    191,282.56x = 28,086,223,595.10
  5. Step 5: Solve for x
    x = 28,086,223,595.10/191,282.56
  6. Step 6: Final answer
    x = 146,831.07

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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.