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Finding the Fourth Proportional to 208,520.30, 287,758.50 and 113,026.56

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Solution

The fourth proportional to 208,520.30, 287,758.50 and 113,026.56 is: 155,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.30 : 287,758.50 = 113,026.56 : x
  2. Step 2: Convert to fraction form
    208,520.30/287,758.50 = 113,026.56/x
  3. Step 3: Cross multiply
    208,520.30x = 287,758.50 × 113,026.56
  4. Step 4: Simplify right side
    208,520.30x = 32,524,353,365.76
  5. Step 5: Solve for x
    x = 32,524,353,365.76/208,520.30
  6. Step 6: Final answer
    x = 155,976.92

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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.