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Finding the Fourth Proportional to 213,148.10, 319,722.15 and 204,047.30

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Solution

The fourth proportional to 213,148.10, 319,722.15 and 204,047.30 is: 306,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.10 : 319,722.15 = 204,047.30 : x
  2. Step 2: Convert to fraction form
    213,148.10/319,722.15 = 204,047.30/x
  3. Step 3: Cross multiply
    213,148.10x = 319,722.15 × 204,047.30
  4. Step 4: Simplify right side
    213,148.10x = 65,238,441,457.70
  5. Step 5: Solve for x
    x = 65,238,441,457.70/213,148.10
  6. Step 6: Final answer
    x = 306,070.95

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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.