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Finding the Fourth Proportional to 157,833, 217,808.25 and 86,213.04

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Solution

The fourth proportional to 157,833, 217,808.25 and 86,213.04 is: 118,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,833 : 217,808.25 = 86,213.04 : x
  2. Step 2: Convert to fraction form
    157,833/217,808.25 = 86,213.04/x
  3. Step 3: Cross multiply
    157,833x = 217,808.25 × 86,213.04
  4. Step 4: Simplify right side
    157,833x = 18,777,911,369.58
  5. Step 5: Solve for x
    x = 18,777,911,369.58/157,833
  6. Step 6: Final answer
    x = 118,973.29

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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.