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Finding the Fourth Proportional to 201,197.56, 277,686.50 and 116,363.56

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Solution

The fourth proportional to 201,197.56, 277,686.50 and 116,363.56 is: 160,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,197.56 : 277,686.50 = 116,363.56 : x
  2. Step 2: Convert to fraction form
    201,197.56/277,686.50 = 116,363.56/x
  3. Step 3: Cross multiply
    201,197.56x = 277,686.50 × 116,363.56
  4. Step 4: Simplify right side
    201,197.56x = 32,312,589,703.94
  5. Step 5: Solve for x
    x = 32,312,589,703.94/201,197.56
  6. Step 6: Final answer
    x = 160,601.30

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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.