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Finding the Fourth Proportional to 201,813.92, 278,503.24 and 116,980.20

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Solution

The fourth proportional to 201,813.92, 278,503.24 and 116,980.20 is: 161,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.92 : 278,503.24 = 116,980.20 : x
  2. Step 2: Convert to fraction form
    201,813.92/278,503.24 = 116,980.20/x
  3. Step 3: Cross multiply
    201,813.92x = 278,503.24 × 116,980.20
  4. Step 4: Simplify right side
    201,813.92x = 32,579,364,715.85
  5. Step 5: Solve for x
    x = 32,579,364,715.85/201,813.92
  6. Step 6: Final answer
    x = 161,432.69

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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.