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Finding the Fourth Proportional to 213,908.50, 295,271.49 and 124,484.50

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Solution

The fourth proportional to 213,908.50, 295,271.49 and 124,484.50 is: 171,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,908.50 : 295,271.49 = 124,484.50 : x
  2. Step 2: Convert to fraction form
    213,908.50/295,271.49 = 124,484.50/x
  3. Step 3: Cross multiply
    213,908.50x = 295,271.49 × 124,484.50
  4. Step 4: Simplify right side
    213,908.50x = 36,756,723,796.91
  5. Step 5: Solve for x
    x = 36,756,723,796.91/213,908.50
  6. Step 6: Final answer
    x = 171,833.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.