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Finding the Fourth Proportional to 205,896.80, 308,845.20 and 87,538.40

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Solution

The fourth proportional to 205,896.80, 308,845.20 and 87,538.40 is: 131,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.80 : 308,845.20 = 87,538.40 : x
  2. Step 2: Convert to fraction form
    205,896.80/308,845.20 = 87,538.40/x
  3. Step 3: Cross multiply
    205,896.80x = 308,845.20 × 87,538.40
  4. Step 4: Simplify right side
    205,896.80x = 27,035,814,655.68
  5. Step 5: Solve for x
    x = 27,035,814,655.68/205,896.80
  6. Step 6: Final answer
    x = 131,307.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.