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Finding the Fourth Proportional to 233,390.57, 322,085.36 and 142,744.88

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Solution

The fourth proportional to 233,390.57, 322,085.36 and 142,744.88 is: 196,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,390.57 : 322,085.36 = 142,744.88 : x
  2. Step 2: Convert to fraction form
    233,390.57/322,085.36 = 142,744.88/x
  3. Step 3: Cross multiply
    233,390.57x = 322,085.36 × 142,744.88
  4. Step 4: Simplify right side
    233,390.57x = 45,976,037,225.03
  5. Step 5: Solve for x
    x = 45,976,037,225.03/233,390.57
  6. Step 6: Final answer
    x = 196,991.84

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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.