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Finding the Fourth Proportional to 213,048, 319,517.33 and 63,253.55

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Solution

The fourth proportional to 213,048, 319,517.33 and 63,253.55 is: 94,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,048 : 319,517.33 = 63,253.55 : x
  2. Step 2: Convert to fraction form
    213,048/319,517.33 = 63,253.55/x
  3. Step 3: Cross multiply
    213,048x = 319,517.33 × 63,253.55
  4. Step 4: Simplify right side
    213,048x = 20,210,603,495.17
  5. Step 5: Solve for x
    x = 20,210,603,495.17/213,048
  6. Step 6: Final answer
    x = 94,864.08

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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.