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Finding the Fourth Proportional to 150,012.70, 206,919.98 and 96,212.50

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Solution

The fourth proportional to 150,012.70, 206,919.98 and 96,212.50 is: 132,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012.70 : 206,919.98 = 96,212.50 : x
  2. Step 2: Convert to fraction form
    150,012.70/206,919.98 = 96,212.50/x
  3. Step 3: Cross multiply
    150,012.70x = 206,919.98 × 96,212.50
  4. Step 4: Simplify right side
    150,012.70x = 19,908,287,541.15
  5. Step 5: Solve for x
    x = 19,908,287,541.15/150,012.70
  6. Step 6: Final answer
    x = 132,710.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.