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Finding the Fourth Proportional to 138,596.85, 207,895.17 and 33,415.77

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Solution

The fourth proportional to 138,596.85, 207,895.17 and 33,415.77 is: 50,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,596.85 : 207,895.17 = 33,415.77 : x
  2. Step 2: Convert to fraction form
    138,596.85/207,895.17 = 33,415.77/x
  3. Step 3: Cross multiply
    138,596.85x = 207,895.17 × 33,415.77
  4. Step 4: Simplify right side
    138,596.85x = 6,946,977,184.83
  5. Step 5: Solve for x
    x = 6,946,977,184.83/138,596.85
  6. Step 6: Final answer
    x = 50,123.63

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1.5x scale

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.