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Finding the Fourth Proportional to 157,392.51, 236,158.56 and 82,494.87

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Solution

The fourth proportional to 157,392.51, 236,158.56 and 82,494.87 is: 123,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,392.51 : 236,158.56 = 82,494.87 : x
  2. Step 2: Convert to fraction form
    157,392.51/236,158.56 = 82,494.87/x
  3. Step 3: Cross multiply
    157,392.51x = 236,158.56 × 82,494.87
  4. Step 4: Simplify right side
    157,392.51x = 19,481,869,706.59
  5. Step 5: Solve for x
    x = 19,481,869,706.59/157,392.51
  6. Step 6: Final answer
    x = 123,778.89

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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.