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Finding the Fourth Proportional to 200,523, 276,721.74 and 119,953.92

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Solution

The fourth proportional to 200,523, 276,721.74 and 119,953.92 is: 165,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523 : 276,721.74 = 119,953.92 : x
  2. Step 2: Convert to fraction form
    200,523/276,721.74 = 119,953.92/x
  3. Step 3: Cross multiply
    200,523x = 276,721.74 × 119,953.92
  4. Step 4: Simplify right side
    200,523x = 33,193,857,462.22
  5. Step 5: Solve for x
    x = 33,193,857,462.22/200,523
  6. Step 6: Final answer
    x = 165,536.41

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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.