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Finding the Fourth Proportional to 150,203.64, 207,281.43 and 83,135.64

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Solution

The fourth proportional to 150,203.64, 207,281.43 and 83,135.64 is: 114,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,203.64 : 207,281.43 = 83,135.64 : x
  2. Step 2: Convert to fraction form
    150,203.64/207,281.43 = 83,135.64/x
  3. Step 3: Cross multiply
    150,203.64x = 207,281.43 × 83,135.64
  4. Step 4: Simplify right side
    150,203.64x = 17,232,474,343.17
  5. Step 5: Solve for x
    x = 17,232,474,343.17/150,203.64
  6. Step 6: Final answer
    x = 114,727.41

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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.