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Finding the Fourth Proportional to 202,252.50, 303,377.67 and 52,492.68

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Solution

The fourth proportional to 202,252.50, 303,377.67 and 52,492.68 is: 78,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,252.50 : 303,377.67 = 52,492.68 : x
  2. Step 2: Convert to fraction form
    202,252.50/303,377.67 = 52,492.68/x
  3. Step 3: Cross multiply
    202,252.50x = 303,377.67 × 52,492.68
  4. Step 4: Simplify right side
    202,252.50x = 15,925,106,950.46
  5. Step 5: Solve for x
    x = 15,925,106,950.46/202,252.50
  6. Step 6: Final answer
    x = 78,738.74

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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.