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Finding the Fourth Proportional to 157,362.44, 217,160.19 and 85,742.47

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Solution

The fourth proportional to 157,362.44, 217,160.19 and 85,742.47 is: 118,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362.44 : 217,160.19 = 85,742.47 : x
  2. Step 2: Convert to fraction form
    157,362.44/217,160.19 = 85,742.47/x
  3. Step 3: Cross multiply
    157,362.44x = 217,160.19 × 85,742.47
  4. Step 4: Simplify right side
    157,362.44x = 18,619,850,533.37
  5. Step 5: Solve for x
    x = 18,619,850,533.37/157,362.44
  6. Step 6: Final answer
    x = 118,324.62

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Why These Related Problems?

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