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Finding the Fourth Proportional to 251,752, 377,776.24 and 111,511.84

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Solution

The fourth proportional to 251,752, 377,776.24 and 111,511.84 is: 167,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,752 : 377,776.24 = 111,511.84 : x
  2. Step 2: Convert to fraction form
    251,752/377,776.24 = 111,511.84/x
  3. Step 3: Cross multiply
    251,752x = 377,776.24 × 111,511.84
  4. Step 4: Simplify right side
    251,752x = 42,126,523,630.68
  5. Step 5: Solve for x
    x = 42,126,523,630.68/251,752
  6. Step 6: Final answer
    x = 167,333.42

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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.