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Finding the Fourth Proportional to 200,841.46, 277,169.34 and 120,252.94

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Solution

The fourth proportional to 200,841.46, 277,169.34 and 120,252.94 is: 165,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841.46 : 277,169.34 = 120,252.94 : x
  2. Step 2: Convert to fraction form
    200,841.46/277,169.34 = 120,252.94/x
  3. Step 3: Cross multiply
    200,841.46x = 277,169.34 × 120,252.94
  4. Step 4: Simplify right side
    200,841.46x = 33,330,428,012.86
  5. Step 5: Solve for x
    x = 33,330,428,012.86/200,841.46
  6. Step 6: Final answer
    x = 165,953.92

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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.