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Finding the Fourth Proportional to 138,737.18, 208,106.31 and 33,555.98

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Solution

The fourth proportional to 138,737.18, 208,106.31 and 33,555.98 is: 50,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,737.18 : 208,106.31 = 33,555.98 : x
  2. Step 2: Convert to fraction form
    138,737.18/208,106.31 = 33,555.98/x
  3. Step 3: Cross multiply
    138,737.18x = 208,106.31 × 33,555.98
  4. Step 4: Simplify right side
    138,737.18x = 6,983,211,176.23
  5. Step 5: Solve for x
    x = 6,983,211,176.23/138,737.18
  6. Step 6: Final answer
    x = 50,334.10

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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.