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Finding the Fourth Proportional to 129,188.50, 193,783.56 and 35,695.06

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Solution

The fourth proportional to 129,188.50, 193,783.56 and 35,695.06 is: 53,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,188.50 : 193,783.56 = 35,695.06 : x
  2. Step 2: Convert to fraction form
    129,188.50/193,783.56 = 35,695.06/x
  3. Step 3: Cross multiply
    129,188.50x = 193,783.56 × 35,695.06
  4. Step 4: Simplify right side
    129,188.50x = 6,917,115,801.21
  5. Step 5: Solve for x
    x = 6,917,115,801.21/129,188.50
  6. Step 6: Final answer
    x = 53,542.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.