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Finding the Fourth Proportional to 149,468.32, 206,108.04 and 95,755.60

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Solution

The fourth proportional to 149,468.32, 206,108.04 and 95,755.60 is: 132,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468.32 : 206,108.04 = 95,755.60 : x
  2. Step 2: Convert to fraction form
    149,468.32/206,108.04 = 95,755.60/x
  3. Step 3: Cross multiply
    149,468.32x = 206,108.04 × 95,755.60
  4. Step 4: Simplify right side
    149,468.32x = 19,735,999,035.02
  5. Step 5: Solve for x
    x = 19,735,999,035.02/149,468.32
  6. Step 6: Final answer
    x = 132,041.35

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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.