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Finding the Fourth Proportional to 200,223.84, 276,364.08 and 119,706.24

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Solution

The fourth proportional to 200,223.84, 276,364.08 and 119,706.24 is: 165,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,223.84 : 276,364.08 = 119,706.24 : x
  2. Step 2: Convert to fraction form
    200,223.84/276,364.08 = 119,706.24/x
  3. Step 3: Cross multiply
    200,223.84x = 276,364.08 × 119,706.24
  4. Step 4: Simplify right side
    200,223.84x = 33,082,504,887.86
  5. Step 5: Solve for x
    x = 33,082,504,887.86/200,223.84
  6. Step 6: Final answer
    x = 165,227.60

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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.