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Finding the Fourth Proportional to 150,357.94, 207,493.95 and 83,289.94

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Solution

The fourth proportional to 150,357.94, 207,493.95 and 83,289.94 is: 114,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,357.94 : 207,493.95 = 83,289.94 : x
  2. Step 2: Convert to fraction form
    150,357.94/207,493.95 = 83,289.94/x
  3. Step 3: Cross multiply
    150,357.94x = 207,493.95 × 83,289.94
  4. Step 4: Simplify right side
    150,357.94x = 17,282,158,439.47
  5. Step 5: Solve for x
    x = 17,282,158,439.47/150,357.94
  6. Step 6: Final answer
    x = 114,940.11

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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.