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Finding the Fourth Proportional to 213,233.10, 319,849.64 and 63,475.54

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Solution

The fourth proportional to 213,233.10, 319,849.64 and 63,475.54 is: 95,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,233.10 : 319,849.64 = 63,475.54 : x
  2. Step 2: Convert to fraction form
    213,233.10/319,849.64 = 63,475.54/x
  3. Step 3: Cross multiply
    213,233.10x = 319,849.64 × 63,475.54
  4. Step 4: Simplify right side
    213,233.10x = 20,302,628,617.81
  5. Step 5: Solve for x
    x = 20,302,628,617.81/213,233.10
  6. Step 6: Final answer
    x = 95,213.31

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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.