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Finding the Fourth Proportional to 157,344.28, 235,965.39 and 52,135

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Solution

The fourth proportional to 157,344.28, 235,965.39 and 52,135 is: 78,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,344.28 : 235,965.39 = 52,135 : x
  2. Step 2: Convert to fraction form
    157,344.28/235,965.39 = 52,135/x
  3. Step 3: Cross multiply
    157,344.28x = 235,965.39 × 52,135
  4. Step 4: Simplify right side
    157,344.28x = 12,302,055,607.65
  5. Step 5: Solve for x
    x = 12,302,055,607.65/157,344.28
  6. Step 6: Final answer
    x = 78,185.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.