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Finding the Fourth Proportional to 164,492.40, 246,762.90 and 52,183.20

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Solution

The fourth proportional to 164,492.40, 246,762.90 and 52,183.20 is: 78,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.40 : 246,762.90 = 52,183.20 : x
  2. Step 2: Convert to fraction form
    164,492.40/246,762.90 = 52,183.20/x
  3. Step 3: Cross multiply
    164,492.40x = 246,762.90 × 52,183.20
  4. Step 4: Simplify right side
    164,492.40x = 12,876,877,763.28
  5. Step 5: Solve for x
    x = 12,876,877,763.28/164,492.40
  6. Step 6: Final answer
    x = 78,282.51

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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.