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Finding the Fourth Proportional to 164,907.92, 247,223.36 and 114,840.20

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Solution

The fourth proportional to 164,907.92, 247,223.36 and 114,840.20 is: 172,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907.92 : 247,223.36 = 114,840.20 : x
  2. Step 2: Convert to fraction form
    164,907.92/247,223.36 = 114,840.20/x
  3. Step 3: Cross multiply
    164,907.92x = 247,223.36 × 114,840.20
  4. Step 4: Simplify right side
    164,907.92x = 28,391,180,107.07
  5. Step 5: Solve for x
    x = 28,391,180,107.07/164,907.92
  6. Step 6: Final answer
    x = 172,163.84

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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.