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Finding the Fourth Proportional to 358,854.74, 538,264.22 and 134,198.66

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Solution

The fourth proportional to 358,854.74, 538,264.22 and 134,198.66 is: 201,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,854.74 : 538,264.22 = 134,198.66 : x
  2. Step 2: Convert to fraction form
    358,854.74/538,264.22 = 134,198.66/x
  3. Step 3: Cross multiply
    358,854.74x = 538,264.22 × 134,198.66
  4. Step 4: Simplify right side
    358,854.74x = 72,234,335,706.12
  5. Step 5: Solve for x
    x = 72,234,335,706.12/358,854.74
  6. Step 6: Final answer
    x = 201,291.30

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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.