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Finding the Fourth Proportional to 164,223.94, 246,314.68 and 51,915.48

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Solution

The fourth proportional to 164,223.94, 246,314.68 and 51,915.48 is: 77,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.94 : 246,314.68 = 51,915.48 : x
  2. Step 2: Convert to fraction form
    164,223.94/246,314.68 = 51,915.48/x
  3. Step 3: Cross multiply
    164,223.94x = 246,314.68 × 51,915.48
  4. Step 4: Simplify right side
    164,223.94x = 12,787,544,843.25
  5. Step 5: Solve for x
    x = 12,787,544,843.25/164,223.94
  6. Step 6: Final answer
    x = 77,866.51

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1.5x scale

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.