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Finding the Fourth Proportional to 200,145.25, 276,209.09 and 110,721.25

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Solution

The fourth proportional to 200,145.25, 276,209.09 and 110,721.25 is: 152,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,145.25 : 276,209.09 = 110,721.25 : x
  2. Step 2: Convert to fraction form
    200,145.25/276,209.09 = 110,721.25/x
  3. Step 3: Cross multiply
    200,145.25x = 276,209.09 × 110,721.25
  4. Step 4: Simplify right side
    200,145.25x = 30,582,215,706.16
  5. Step 5: Solve for x
    x = 30,582,215,706.16/200,145.25
  6. Step 6: Final answer
    x = 152,800.11

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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.