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Finding the Fourth Proportional to 238,808.74, 357,917.86 and 120,513.91

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Solution

The fourth proportional to 238,808.74, 357,917.86 and 120,513.91 is: 180,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,808.74 : 357,917.86 = 120,513.91 : x
  2. Step 2: Convert to fraction form
    238,808.74/357,917.86 = 120,513.91/x
  3. Step 3: Cross multiply
    238,808.74x = 357,917.86 × 120,513.91
  4. Step 4: Simplify right side
    238,808.74x = 43,134,080,767.43
  5. Step 5: Solve for x
    x = 43,134,080,767.43/238,808.74
  6. Step 6: Final answer
    x = 180,621.87

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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.