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Finding the Fourth Proportional to 164,223.14, 246,313.50 and 51,914.70

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Solution

The fourth proportional to 164,223.14, 246,313.50 and 51,914.70 is: 77,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.14 : 246,313.50 = 51,914.70 : x
  2. Step 2: Convert to fraction form
    164,223.14/246,313.50 = 51,914.70/x
  3. Step 3: Cross multiply
    164,223.14x = 246,313.50 × 51,914.70
  4. Step 4: Simplify right side
    164,223.14x = 12,787,291,458.45
  5. Step 5: Solve for x
    x = 12,787,291,458.45/164,223.14
  6. Step 6: Final answer
    x = 77,865.35

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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.