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Finding the Fourth Proportional to 150,457.38, 207,630.34 and 82,477.24

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Solution

The fourth proportional to 150,457.38, 207,630.34 and 82,477.24 is: 113,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,457.38 : 207,630.34 = 82,477.24 : x
  2. Step 2: Convert to fraction form
    150,457.38/207,630.34 = 82,477.24/x
  3. Step 3: Cross multiply
    150,457.38x = 207,630.34 × 82,477.24
  4. Step 4: Simplify right side
    150,457.38x = 17,124,777,383.46
  5. Step 5: Solve for x
    x = 17,124,777,383.46/150,457.38
  6. Step 6: Final answer
    x = 113,818.13

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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.