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Finding the Fourth Proportional to 233,716.20, 322,594.42 and 138,256.08

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Solution

The fourth proportional to 233,716.20, 322,594.42 and 138,256.08 is: 190,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,716.20 : 322,594.42 = 138,256.08 : x
  2. Step 2: Convert to fraction form
    233,716.20/322,594.42 = 138,256.08/x
  3. Step 3: Cross multiply
    233,716.20x = 322,594.42 × 138,256.08
  4. Step 4: Simplify right side
    233,716.20x = 44,600,639,939.07
  5. Step 5: Solve for x
    x = 44,600,639,939.07/233,716.20
  6. Step 6: Final answer
    x = 190,832.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.