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Finding the Fourth Proportional to 233,373, 322,028.10 and 131,395.83

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Solution

The fourth proportional to 233,373, 322,028.10 and 131,395.83 is: 181,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,373 : 322,028.10 = 131,395.83 : x
  2. Step 2: Convert to fraction form
    233,373/322,028.10 = 131,395.83/x
  3. Step 3: Cross multiply
    233,373x = 322,028.10 × 131,395.83
  4. Step 4: Simplify right side
    233,373x = 42,313,149,482.82
  5. Step 5: Solve for x
    x = 42,313,149,482.82/233,373
  6. Step 6: Final answer
    x = 181,311.25

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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.