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Finding the Fourth Proportional to 150,281.64, 207,388.64 and 83,213.64

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Solution

The fourth proportional to 150,281.64, 207,388.64 and 83,213.64 is: 114,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.64 : 207,388.64 = 83,213.64 : x
  2. Step 2: Convert to fraction form
    150,281.64/207,388.64 = 83,213.64/x
  3. Step 3: Cross multiply
    150,281.64x = 207,388.64 × 83,213.64
  4. Step 4: Simplify right side
    150,281.64x = 17,257,563,629.05
  5. Step 5: Solve for x
    x = 17,257,563,629.05/150,281.64
  6. Step 6: Final answer
    x = 114,834.81

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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.