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Finding the Fourth Proportional to 150,511.44, 207,706.08 and 83,443.44

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Solution

The fourth proportional to 150,511.44, 207,706.08 and 83,443.44 is: 115,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511.44 : 207,706.08 = 83,443.44 : x
  2. Step 2: Convert to fraction form
    150,511.44/207,706.08 = 83,443.44/x
  3. Step 3: Cross multiply
    150,511.44x = 207,706.08 × 83,443.44
  4. Step 4: Simplify right side
    150,511.44x = 17,331,709,824.12
  5. Step 5: Solve for x
    x = 17,331,709,824.12/150,511.44
  6. Step 6: Final answer
    x = 115,152.11

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1.5x scale

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.