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Finding the Fourth Proportional to 157,366.34, 236,119.29 and 82,468.68

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Solution

The fourth proportional to 157,366.34, 236,119.29 and 82,468.68 is: 123,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,366.34 : 236,119.29 = 82,468.68 : x
  2. Step 2: Convert to fraction form
    157,366.34/236,119.29 = 82,468.68/x
  3. Step 3: Cross multiply
    157,366.34x = 236,119.29 × 82,468.68
  4. Step 4: Simplify right side
    157,366.34x = 19,472,446,650.22
  5. Step 5: Solve for x
    x = 19,472,446,650.22/157,366.34
  6. Step 6: Final answer
    x = 123,739.59

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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.