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Finding the Fourth Proportional to 301,987.52, 416,732.28 and 194,562.08

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Solution

The fourth proportional to 301,987.52, 416,732.28 and 194,562.08 is: 268,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,987.52 : 416,732.28 = 194,562.08 : x
  2. Step 2: Convert to fraction form
    301,987.52/416,732.28 = 194,562.08/x
  3. Step 3: Cross multiply
    301,987.52x = 416,732.28 × 194,562.08
  4. Step 4: Simplify right side
    301,987.52x = 81,080,299,199.94
  5. Step 5: Solve for x
    x = 81,080,299,199.94/301,987.52
  6. Step 6: Final answer
    x = 268,488.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.