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Finding the Fourth Proportional to 167,226.74, 230,757.66 and 99,232

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Solution

The fourth proportional to 167,226.74, 230,757.66 and 99,232 is: 136,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,226.74 : 230,757.66 = 99,232 : x
  2. Step 2: Convert to fraction form
    167,226.74/230,757.66 = 99,232/x
  3. Step 3: Cross multiply
    167,226.74x = 230,757.66 × 99,232
  4. Step 4: Simplify right side
    167,226.74x = 22,898,544,117.12
  5. Step 5: Solve for x
    x = 22,898,544,117.12/167,226.74
  6. Step 6: Final answer
    x = 136,931.12

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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.