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Finding the Fourth Proportional to 157,115.48, 235,682.93 and 78,150.20

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Solution

The fourth proportional to 157,115.48, 235,682.93 and 78,150.20 is: 117,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115.48 : 235,682.93 = 78,150.20 : x
  2. Step 2: Convert to fraction form
    157,115.48/235,682.93 = 78,150.20/x
  3. Step 3: Cross multiply
    157,115.48x = 235,682.93 × 78,150.20
  4. Step 4: Simplify right side
    157,115.48x = 18,418,667,133.05
  5. Step 5: Solve for x
    x = 18,418,667,133.05/157,115.48
  6. Step 6: Final answer
    x = 117,230.13

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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.