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Finding the Fourth Proportional to 150,807.81, 226,217.13 and 75,887.16

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Solution

The fourth proportional to 150,807.81, 226,217.13 and 75,887.16 is: 113,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,807.81 : 226,217.13 = 75,887.16 : x
  2. Step 2: Convert to fraction form
    150,807.81/226,217.13 = 75,887.16/x
  3. Step 3: Cross multiply
    150,807.81x = 226,217.13 × 75,887.16
  4. Step 4: Simplify right side
    150,807.81x = 17,166,975,539.05
  5. Step 5: Solve for x
    x = 17,166,975,539.05/150,807.81
  6. Step 6: Final answer
    x = 113,833.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.