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Finding the Fourth Proportional to 208,841.80, 313,262.70 and 96,521.80

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Solution

The fourth proportional to 208,841.80, 313,262.70 and 96,521.80 is: 144,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.80 : 313,262.70 = 96,521.80 : x
  2. Step 2: Convert to fraction form
    208,841.80/313,262.70 = 96,521.80/x
  3. Step 3: Cross multiply
    208,841.80x = 313,262.70 × 96,521.80
  4. Step 4: Simplify right side
    208,841.80x = 30,236,679,676.86
  5. Step 5: Solve for x
    x = 30,236,679,676.86/208,841.80
  6. Step 6: Final answer
    x = 144,782.70

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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.