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Finding the Fourth Proportional to 202,296.70, 303,044.10 and 177,364.90

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Solution

The fourth proportional to 202,296.70, 303,044.10 and 177,364.90 is: 265,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.70 : 303,044.10 = 177,364.90 : x
  2. Step 2: Convert to fraction form
    202,296.70/303,044.10 = 177,364.90/x
  3. Step 3: Cross multiply
    202,296.70x = 303,044.10 × 177,364.90
  4. Step 4: Simplify right side
    202,296.70x = 53,749,386,492.09
  5. Step 5: Solve for x
    x = 53,749,386,492.09/202,296.70
  6. Step 6: Final answer
    x = 265,695.81

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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.