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Finding the Fourth Proportional to 150,274.50, 207,385.30 and 83,206.50

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Solution

The fourth proportional to 150,274.50, 207,385.30 and 83,206.50 is: 114,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,274.50 : 207,385.30 = 83,206.50 : x
  2. Step 2: Convert to fraction form
    150,274.50/207,385.30 = 83,206.50/x
  3. Step 3: Cross multiply
    150,274.50x = 207,385.30 × 83,206.50
  4. Step 4: Simplify right side
    150,274.50x = 17,255,804,964.45
  5. Step 5: Solve for x
    x = 17,255,804,964.45/150,274.50
  6. Step 6: Final answer
    x = 114,828.56

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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.