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Finding the Fourth Proportional to 151,714, 227,581.94 and 58,219.75

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Solution

The fourth proportional to 151,714, 227,581.94 and 58,219.75 is: 87,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,714 : 227,581.94 = 58,219.75 : x
  2. Step 2: Convert to fraction form
    151,714/227,581.94 = 58,219.75/x
  3. Step 3: Cross multiply
    151,714x = 227,581.94 × 58,219.75
  4. Step 4: Simplify right side
    151,714x = 13,249,763,651.32
  5. Step 5: Solve for x
    x = 13,249,763,651.32/151,714
  6. Step 6: Final answer
    x = 87,333.82

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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.