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Finding the Fourth Proportional to 215,035.71, 296,759.41 and 119,544

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Solution

The fourth proportional to 215,035.71, 296,759.41 and 119,544 is: 164,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,035.71 : 296,759.41 = 119,544 : x
  2. Step 2: Convert to fraction form
    215,035.71/296,759.41 = 119,544/x
  3. Step 3: Cross multiply
    215,035.71x = 296,759.41 × 119,544
  4. Step 4: Simplify right side
    215,035.71x = 35,475,806,610.18
  5. Step 5: Solve for x
    x = 35,475,806,610.18/215,035.71
  6. Step 6: Final answer
    x = 164,976.35

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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.