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Finding the Fourth Proportional to 133,852.11, 200,714.10 and 77,707.73

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Solution

The fourth proportional to 133,852.11, 200,714.10 and 77,707.73 is: 116,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.11 : 200,714.10 = 77,707.73 : x
  2. Step 2: Convert to fraction form
    133,852.11/200,714.10 = 77,707.73/x
  3. Step 3: Cross multiply
    133,852.11x = 200,714.10 × 77,707.73
  4. Step 4: Simplify right side
    133,852.11x = 15,597,036,086.42
  5. Step 5: Solve for x
    x = 15,597,036,086.42/133,852.11
  6. Step 6: Final answer
    x = 116,524.39

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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.