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Finding the Fourth Proportional to 213,104.56, 319,617.24 and 70,952.08

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Solution

The fourth proportional to 213,104.56, 319,617.24 and 70,952.08 is: 106,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,104.56 : 319,617.24 = 70,952.08 : x
  2. Step 2: Convert to fraction form
    213,104.56/319,617.24 = 70,952.08/x
  3. Step 3: Cross multiply
    213,104.56x = 319,617.24 × 70,952.08
  4. Step 4: Simplify right side
    213,104.56x = 22,677,507,981.86
  5. Step 5: Solve for x
    x = 22,677,507,981.86/213,104.56
  6. Step 6: Final answer
    x = 106,414.94

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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.