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Finding the Fourth Proportional to 208,524.80, 313,017.60 and 115,212.80

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Solution

The fourth proportional to 208,524.80, 313,017.60 and 115,212.80 is: 172,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.80 : 313,017.60 = 115,212.80 : x
  2. Step 2: Convert to fraction form
    208,524.80/313,017.60 = 115,212.80/x
  3. Step 3: Cross multiply
    208,524.80x = 313,017.60 × 115,212.80
  4. Step 4: Simplify right side
    208,524.80x = 36,063,634,145.28
  5. Step 5: Solve for x
    x = 36,063,634,145.28/208,524.80
  6. Step 6: Final answer
    x = 172,946.50

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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.