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Finding the Fourth Proportional to 131,596.50, 197,415.27 and 42,829.05

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Solution

The fourth proportional to 131,596.50, 197,415.27 and 42,829.05 is: 64,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,596.50 : 197,415.27 = 42,829.05 : x
  2. Step 2: Convert to fraction form
    131,596.50/197,415.27 = 42,829.05/x
  3. Step 3: Cross multiply
    131,596.50x = 197,415.27 × 42,829.05
  4. Step 4: Simplify right side
    131,596.50x = 8,455,108,469.59
  5. Step 5: Solve for x
    x = 8,455,108,469.59/131,596.50
  6. Step 6: Final answer
    x = 64,250.25

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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.