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Finding the Fourth Proportional to 157,854.96, 236,782.44 and 64,344.24

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Solution

The fourth proportional to 157,854.96, 236,782.44 and 64,344.24 is: 96,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854.96 : 236,782.44 = 64,344.24 : x
  2. Step 2: Convert to fraction form
    157,854.96/236,782.44 = 64,344.24/x
  3. Step 3: Cross multiply
    157,854.96x = 236,782.44 × 64,344.24
  4. Step 4: Simplify right side
    157,854.96x = 15,235,586,147.15
  5. Step 5: Solve for x
    x = 15,235,586,147.15/157,854.96
  6. Step 6: Final answer
    x = 96,516.36

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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.