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Finding the Fourth Proportional to 149,324.16, 206,058.96 and 85,656

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Solution

The fourth proportional to 149,324.16, 206,058.96 and 85,656 is: 118,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,324.16 : 206,058.96 = 85,656 : x
  2. Step 2: Convert to fraction form
    149,324.16/206,058.96 = 85,656/x
  3. Step 3: Cross multiply
    149,324.16x = 206,058.96 × 85,656
  4. Step 4: Simplify right side
    149,324.16x = 17,650,186,277.76
  5. Step 5: Solve for x
    x = 17,650,186,277.76/149,324.16
  6. Step 6: Final answer
    x = 118,200.47

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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.