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Finding the Fourth Proportional to 259,535.16, 358,183.24 and 157,537.23

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Solution

The fourth proportional to 259,535.16, 358,183.24 and 157,537.23 is: 217,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,535.16 : 358,183.24 = 157,537.23 : x
  2. Step 2: Convert to fraction form
    259,535.16/358,183.24 = 157,537.23/x
  3. Step 3: Cross multiply
    259,535.16x = 358,183.24 × 157,537.23
  4. Step 4: Simplify right side
    259,535.16x = 56,427,195,175.46
  5. Step 5: Solve for x
    x = 56,427,195,175.46/259,535.16
  6. Step 6: Final answer
    x = 217,416.38

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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.