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Finding the Fourth Proportional to 151,696, 209,340.57 and 84,628

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Solution

The fourth proportional to 151,696, 209,340.57 and 84,628 is: 116,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,696 : 209,340.57 = 84,628 : x
  2. Step 2: Convert to fraction form
    151,696/209,340.57 = 84,628/x
  3. Step 3: Cross multiply
    151,696x = 209,340.57 × 84,628
  4. Step 4: Simplify right side
    151,696x = 17,716,073,757.96
  5. Step 5: Solve for x
    x = 17,716,073,757.96/151,696
  6. Step 6: Final answer
    x = 116,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.