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Finding the Fourth Proportional to 157,825.96, 236,739.84 and 52,644.62

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Solution

The fourth proportional to 157,825.96, 236,739.84 and 52,644.62 is: 78,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825.96 : 236,739.84 = 52,644.62 : x
  2. Step 2: Convert to fraction form
    157,825.96/236,739.84 = 52,644.62/x
  3. Step 3: Cross multiply
    157,825.96x = 236,739.84 × 52,644.62
  4. Step 4: Simplify right side
    157,825.96x = 12,463,078,915.66
  5. Step 5: Solve for x
    x = 12,463,078,915.66/157,825.96
  6. Step 6: Final answer
    x = 78,967.23

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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.