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Finding the Fourth Proportional to 358,468.12, 537,702.20 and 133,846.08

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Solution

The fourth proportional to 358,468.12, 537,702.20 and 133,846.08 is: 200,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,468.12 : 537,702.20 = 133,846.08 : x
  2. Step 2: Convert to fraction form
    358,468.12/537,702.20 = 133,846.08/x
  3. Step 3: Cross multiply
    358,468.12x = 537,702.20 × 133,846.08
  4. Step 4: Simplify right side
    358,468.12x = 71,969,331,677.38
  5. Step 5: Solve for x
    x = 71,969,331,677.38/358,468.12
  6. Step 6: Final answer
    x = 200,769.13

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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.