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Finding the Fourth Proportional to 213,287.41, 319,948.13 and 73,047.25

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Solution

The fourth proportional to 213,287.41, 319,948.13 and 73,047.25 is: 109,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,287.41 : 319,948.13 = 73,047.25 : x
  2. Step 2: Convert to fraction form
    213,287.41/319,948.13 = 73,047.25/x
  3. Step 3: Cross multiply
    213,287.41x = 319,948.13 × 73,047.25
  4. Step 4: Simplify right side
    213,287.41x = 23,371,330,673.91
  5. Step 5: Solve for x
    x = 23,371,330,673.91/213,287.41
  6. Step 6: Final answer
    x = 109,576.70

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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.