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Finding the Fourth Proportional to 301,694.21, 452,599.65 and 114,691.13

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Solution

The fourth proportional to 301,694.21, 452,599.65 and 114,691.13 is: 172,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,694.21 : 452,599.65 = 114,691.13 : x
  2. Step 2: Convert to fraction form
    301,694.21/452,599.65 = 114,691.13/x
  3. Step 3: Cross multiply
    301,694.21x = 452,599.65 × 114,691.13
  4. Step 4: Simplify right side
    301,694.21x = 51,909,163,033.11
  5. Step 5: Solve for x
    x = 51,909,163,033.11/301,694.21
  6. Step 6: Final answer
    x = 172,058.87

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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.