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Finding the Fourth Proportional to 157,310.16, 235,822.64 and 78,448.56

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Solution

The fourth proportional to 157,310.16, 235,822.64 and 78,448.56 is: 117,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,310.16 : 235,822.64 = 78,448.56 : x
  2. Step 2: Convert to fraction form
    157,310.16/235,822.64 = 78,448.56/x
  3. Step 3: Cross multiply
    157,310.16x = 235,822.64 × 78,448.56
  4. Step 4: Simplify right side
    157,310.16x = 18,499,946,523.40
  5. Step 5: Solve for x
    x = 18,499,946,523.40/157,310.16
  6. Step 6: Final answer
    x = 117,601.73

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Why These Related Problems?

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