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Finding the Fourth Proportional to 149,615.22, 206,476.90 and 85,957.14

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Solution

The fourth proportional to 149,615.22, 206,476.90 and 85,957.14 is: 118,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,615.22 : 206,476.90 = 85,957.14 : x
  2. Step 2: Convert to fraction form
    149,615.22/206,476.90 = 85,957.14/x
  3. Step 3: Cross multiply
    149,615.22x = 206,476.90 × 85,957.14
  4. Step 4: Simplify right side
    149,615.22x = 17,748,163,800.07
  5. Step 5: Solve for x
    x = 17,748,163,800.07/149,615.22
  6. Step 6: Final answer
    x = 118,625.39

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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.