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Finding the Fourth Proportional to 233,283, 321,958.89 and 131,346.66

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Solution

The fourth proportional to 233,283, 321,958.89 and 131,346.66 is: 181,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,283 : 321,958.89 = 131,346.66 : x
  2. Step 2: Convert to fraction form
    233,283/321,958.89 = 131,346.66/x
  3. Step 3: Cross multiply
    233,283x = 321,958.89 × 131,346.66
  4. Step 4: Simplify right side
    233,283x = 42,288,224,858.81
  5. Step 5: Solve for x
    x = 42,288,224,858.81/233,283
  6. Step 6: Final answer
    x = 181,274.35

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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.