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Finding the Fourth Proportional to 157,383, 217,188.54 and 86,727

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Solution

The fourth proportional to 157,383, 217,188.54 and 86,727 is: 119,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,383 : 217,188.54 = 86,727 : x
  2. Step 2: Convert to fraction form
    157,383/217,188.54 = 86,727/x
  3. Step 3: Cross multiply
    157,383x = 217,188.54 × 86,727
  4. Step 4: Simplify right side
    157,383x = 18,836,110,508.58
  5. Step 5: Solve for x
    x = 18,836,110,508.58/157,383
  6. Step 6: Final answer
    x = 119,683.26

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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.