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Finding the Fourth Proportional to 228,462.80, 342,764.26 and 102,209.31

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Solution

The fourth proportional to 228,462.80, 342,764.26 and 102,209.31 is: 153,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,462.80 : 342,764.26 = 102,209.31 : x
  2. Step 2: Convert to fraction form
    228,462.80/342,764.26 = 102,209.31/x
  3. Step 3: Cross multiply
    228,462.80x = 342,764.26 × 102,209.31
  4. Step 4: Simplify right side
    228,462.80x = 35,033,698,251.74
  5. Step 5: Solve for x
    x = 35,033,698,251.74/228,462.80
  6. Step 6: Final answer
    x = 153,345.31

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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.