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Finding the Fourth Proportional to 149,869.50, 206,825.85 and 86,207.22

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Solution

The fourth proportional to 149,869.50, 206,825.85 and 86,207.22 is: 118,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,869.50 : 206,825.85 = 86,207.22 : x
  2. Step 2: Convert to fraction form
    149,869.50/206,825.85 = 86,207.22/x
  3. Step 3: Cross multiply
    149,869.50x = 206,825.85 × 86,207.22
  4. Step 4: Simplify right side
    149,869.50x = 17,829,881,552.64
  5. Step 5: Solve for x
    x = 17,829,881,552.64/149,869.50
  6. Step 6: Final answer
    x = 118,969.38

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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.