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Finding the Fourth Proportional to 201,200.06, 277,663.59 and 120,640.70

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Solution

The fourth proportional to 201,200.06, 277,663.59 and 120,640.70 is: 166,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.06 : 277,663.59 = 120,640.70 : x
  2. Step 2: Convert to fraction form
    201,200.06/277,663.59 = 120,640.70/x
  3. Step 3: Cross multiply
    201,200.06x = 277,663.59 × 120,640.70
  4. Step 4: Simplify right side
    201,200.06x = 33,497,529,862.11
  5. Step 5: Solve for x
    x = 33,497,529,862.11/201,200.06
  6. Step 6: Final answer
    x = 166,488.67

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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.