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Finding the Fourth Proportional to 200,344.96, 276,476.50 and 108,465.22

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Solution

The fourth proportional to 200,344.96, 276,476.50 and 108,465.22 is: 149,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344.96 : 276,476.50 = 108,465.22 : x
  2. Step 2: Convert to fraction form
    200,344.96/276,476.50 = 108,465.22/x
  3. Step 3: Cross multiply
    200,344.96x = 276,476.50 × 108,465.22
  4. Step 4: Simplify right side
    200,344.96x = 29,988,084,397.33
  5. Step 5: Solve for x
    x = 29,988,084,397.33/200,344.96
  6. Step 6: Final answer
    x = 149,682.25

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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.