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Finding the Fourth Proportional to 157,996.96, 237,008 and 52,816.48

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Solution

The fourth proportional to 157,996.96, 237,008 and 52,816.48 is: 79,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,996.96 : 237,008 = 52,816.48 : x
  2. Step 2: Convert to fraction form
    157,996.96/237,008 = 52,816.48/x
  3. Step 3: Cross multiply
    157,996.96x = 237,008 × 52,816.48
  4. Step 4: Simplify right side
    157,996.96x = 12,517,928,291.84
  5. Step 5: Solve for x
    x = 12,517,928,291.84/157,996.96
  6. Step 6: Final answer
    x = 79,228.92

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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.