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Finding the Fourth Proportional to 210,836.70, 316,400.85 and 151,714.80

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Solution

The fourth proportional to 210,836.70, 316,400.85 and 151,714.80 is: 227,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,836.70 : 316,400.85 = 151,714.80 : x
  2. Step 2: Convert to fraction form
    210,836.70/316,400.85 = 151,714.80/x
  3. Step 3: Cross multiply
    210,836.70x = 316,400.85 × 151,714.80
  4. Step 4: Simplify right side
    210,836.70x = 48,002,691,677.58
  5. Step 5: Solve for x
    x = 48,002,691,677.58/210,836.70
  6. Step 6: Final answer
    x = 227,677.12

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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.