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Finding the Fourth Proportional to 213,148.60, 319,722.90 and 204,047.80

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Solution

The fourth proportional to 213,148.60, 319,722.90 and 204,047.80 is: 306,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.60 : 319,722.90 = 204,047.80 : x
  2. Step 2: Convert to fraction form
    213,148.60/319,722.90 = 204,047.80/x
  3. Step 3: Cross multiply
    213,148.60x = 319,722.90 × 204,047.80
  4. Step 4: Simplify right side
    213,148.60x = 65,238,754,354.62
  5. Step 5: Solve for x
    x = 65,238,754,354.62/213,148.60
  6. Step 6: Final answer
    x = 306,071.70

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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.