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Finding the Fourth Proportional to 185,301, 255,742.78 and 117,324.29

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Solution

The fourth proportional to 185,301, 255,742.78 and 117,324.29 is: 161,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,301 : 255,742.78 = 117,324.29 : x
  2. Step 2: Convert to fraction form
    185,301/255,742.78 = 117,324.29/x
  3. Step 3: Cross multiply
    185,301x = 255,742.78 × 117,324.29
  4. Step 4: Simplify right side
    185,301x = 30,004,840,086.13
  5. Step 5: Solve for x
    x = 30,004,840,086.13/185,301
  6. Step 6: Final answer
    x = 161,924.87

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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.