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Finding the Fourth Proportional to 233,622, 322,455.96 and 133,079.28

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Solution

The fourth proportional to 233,622, 322,455.96 and 133,079.28 is: 183,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,622 : 322,455.96 = 133,079.28 : x
  2. Step 2: Convert to fraction form
    233,622/322,455.96 = 133,079.28/x
  3. Step 3: Cross multiply
    233,622x = 322,455.96 × 133,079.28
  4. Step 4: Simplify right side
    233,622x = 42,912,206,988.51
  5. Step 5: Solve for x
    x = 42,912,206,988.51/233,622
  6. Step 6: Final answer
    x = 183,682.22

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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.