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Finding the Fourth Proportional to 262,926, 362,837.88 and 149,814.36

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Solution

The fourth proportional to 262,926, 362,837.88 and 149,814.36 is: 206,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,926 : 362,837.88 = 149,814.36 : x
  2. Step 2: Convert to fraction form
    262,926/362,837.88 = 149,814.36/x
  3. Step 3: Cross multiply
    262,926x = 362,837.88 × 149,814.36
  4. Step 4: Simplify right side
    262,926x = 54,358,324,775.96
  5. Step 5: Solve for x
    x = 54,358,324,775.96/262,926
  6. Step 6: Final answer
    x = 206,743.82

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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.