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Finding the Fourth Proportional to 215,685.71, 297,648.44 and 118,893

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Solution

The fourth proportional to 215,685.71, 297,648.44 and 118,893 is: 164,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,685.71 : 297,648.44 = 118,893 : x
  2. Step 2: Convert to fraction form
    215,685.71/297,648.44 = 118,893/x
  3. Step 3: Cross multiply
    215,685.71x = 297,648.44 × 118,893
  4. Step 4: Simplify right side
    215,685.71x = 35,388,315,976.92
  5. Step 5: Solve for x
    x = 35,388,315,976.92/215,685.71
  6. Step 6: Final answer
    x = 164,073.53

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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.