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Finding the Fourth Proportional to 139,838.70, 209,758.05 and 100,764.30

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Solution

The fourth proportional to 139,838.70, 209,758.05 and 100,764.30 is: 151,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838.70 : 209,758.05 = 100,764.30 : x
  2. Step 2: Convert to fraction form
    139,838.70/209,758.05 = 100,764.30/x
  3. Step 3: Cross multiply
    139,838.70x = 209,758.05 × 100,764.30
  4. Step 4: Simplify right side
    139,838.70x = 21,136,123,077.62
  5. Step 5: Solve for x
    x = 21,136,123,077.62/139,838.70
  6. Step 6: Final answer
    x = 151,146.45

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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.