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Finding the Fourth Proportional to 233,368.41, 322,054.92 and 142,722.75

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Solution

The fourth proportional to 233,368.41, 322,054.92 and 142,722.75 is: 196,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,368.41 : 322,054.92 = 142,722.75 : x
  2. Step 2: Convert to fraction form
    233,368.41/322,054.92 = 142,722.75/x
  3. Step 3: Cross multiply
    233,368.41x = 322,054.92 × 142,722.75
  4. Step 4: Simplify right side
    233,368.41x = 45,964,563,833.43
  5. Step 5: Solve for x
    x = 45,964,563,833.43/233,368.41
  6. Step 6: Final answer
    x = 196,961.38

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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.