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Finding the Fourth Proportional to 228,888.25, 343,351.05 and 114,977.47

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Solution

The fourth proportional to 228,888.25, 343,351.05 and 114,977.47 is: 172,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,888.25 : 343,351.05 = 114,977.47 : x
  2. Step 2: Convert to fraction form
    228,888.25/343,351.05 = 114,977.47/x
  3. Step 3: Cross multiply
    228,888.25x = 343,351.05 × 114,977.47
  4. Step 4: Simplify right side
    228,888.25x = 39,477,635,050.84
  5. Step 5: Solve for x
    x = 39,477,635,050.84/228,888.25
  6. Step 6: Final answer
    x = 172,475.59

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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.