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Finding the Fourth Proportional to 200,536.54, 276,740.47 and 119,967.42

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Solution

The fourth proportional to 200,536.54, 276,740.47 and 119,967.42 is: 165,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536.54 : 276,740.47 = 119,967.42 : x
  2. Step 2: Convert to fraction form
    200,536.54/276,740.47 = 119,967.42/x
  3. Step 3: Cross multiply
    200,536.54x = 276,740.47 × 119,967.42
  4. Step 4: Simplify right side
    200,536.54x = 33,199,840,195.49
  5. Step 5: Solve for x
    x = 33,199,840,195.49/200,536.54
  6. Step 6: Final answer
    x = 165,555.07

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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.