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Finding the Fourth Proportional to 157,367.84, 236,121.54 and 82,470.18

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Solution

The fourth proportional to 157,367.84, 236,121.54 and 82,470.18 is: 123,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.84 : 236,121.54 = 82,470.18 : x
  2. Step 2: Convert to fraction form
    157,367.84/236,121.54 = 82,470.18/x
  3. Step 3: Cross multiply
    157,367.84x = 236,121.54 × 82,470.18
  4. Step 4: Simplify right side
    157,367.84x = 19,472,985,905.68
  5. Step 5: Solve for x
    x = 19,472,985,905.68/157,367.84
  6. Step 6: Final answer
    x = 123,741.84

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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.