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Finding the Fourth Proportional to 264,161.35, 364,456.56 and 149,428.90

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Solution

The fourth proportional to 264,161.35, 364,456.56 and 149,428.90 is: 206,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,161.35 : 364,456.56 = 149,428.90 : x
  2. Step 2: Convert to fraction form
    264,161.35/364,456.56 = 149,428.90/x
  3. Step 3: Cross multiply
    264,161.35x = 364,456.56 × 149,428.90
  4. Step 4: Simplify right side
    264,161.35x = 54,460,343,874.51
  5. Step 5: Solve for x
    x = 54,460,343,874.51/264,161.35
  6. Step 6: Final answer
    x = 206,163.18

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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.