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Finding the Fourth Proportional to 150,713.44, 226,070.16 and 57,219.22

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Solution

The fourth proportional to 150,713.44, 226,070.16 and 57,219.22 is: 85,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,713.44 : 226,070.16 = 57,219.22 : x
  2. Step 2: Convert to fraction form
    150,713.44/226,070.16 = 57,219.22/x
  3. Step 3: Cross multiply
    150,713.44x = 226,070.16 × 57,219.22
  4. Step 4: Simplify right side
    150,713.44x = 12,935,558,220.48
  5. Step 5: Solve for x
    x = 12,935,558,220.48/150,713.44
  6. Step 6: Final answer
    x = 85,828.83

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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.