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Finding the Fourth Proportional to 157,660.68, 236,285.66 and 64,057

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Solution

The fourth proportional to 157,660.68, 236,285.66 and 64,057 is: 96,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,660.68 : 236,285.66 = 64,057 : x
  2. Step 2: Convert to fraction form
    157,660.68/236,285.66 = 64,057/x
  3. Step 3: Cross multiply
    157,660.68x = 236,285.66 × 64,057
  4. Step 4: Simplify right side
    157,660.68x = 15,135,750,522.62
  5. Step 5: Solve for x
    x = 15,135,750,522.62/157,660.68
  6. Step 6: Final answer
    x = 96,002.06

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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.