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Finding the Fourth Proportional to 157,364.73, 236,116.88 and 82,467.08

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Solution

The fourth proportional to 157,364.73, 236,116.88 and 82,467.08 is: 123,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364.73 : 236,116.88 = 82,467.08 : x
  2. Step 2: Convert to fraction form
    157,364.73/236,116.88 = 82,467.08/x
  3. Step 3: Cross multiply
    157,364.73x = 236,116.88 × 82,467.08
  4. Step 4: Simplify right side
    157,364.73x = 19,471,868,039.39
  5. Step 5: Solve for x
    x = 19,471,868,039.39/157,364.73
  6. Step 6: Final answer
    x = 123,737.18

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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.