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Finding the Fourth Proportional to 201,200.96, 277,627.68 and 111,776.96

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Solution

The fourth proportional to 201,200.96, 277,627.68 and 111,776.96 is: 154,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.96 : 277,627.68 = 111,776.96 : x
  2. Step 2: Convert to fraction form
    201,200.96/277,627.68 = 111,776.96/x
  3. Step 3: Cross multiply
    201,200.96x = 277,627.68 × 111,776.96
  4. Step 4: Simplify right side
    201,200.96x = 31,032,378,082.25
  5. Step 5: Solve for x
    x = 31,032,378,082.25/201,200.96
  6. Step 6: Final answer
    x = 154,235.74

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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.