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Finding the Fourth Proportional to 150,283.88, 207,389.22 and 83,214.44

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Solution

The fourth proportional to 150,283.88, 207,389.22 and 83,214.44 is: 114,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,283.88 : 207,389.22 = 83,214.44 : x
  2. Step 2: Convert to fraction form
    150,283.88/207,389.22 = 83,214.44/x
  3. Step 3: Cross multiply
    150,283.88x = 207,389.22 × 83,214.44
  4. Step 4: Simplify right side
    150,283.88x = 17,257,777,804.34
  5. Step 5: Solve for x
    x = 17,257,777,804.34/150,283.88
  6. Step 6: Final answer
    x = 114,834.52

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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.