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Finding the Fourth Proportional to 202,535.74, 303,994.30 and 102,767.54

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Solution

The fourth proportional to 202,535.74, 303,994.30 and 102,767.54 is: 154,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,535.74 : 303,994.30 = 102,767.54 : x
  2. Step 2: Convert to fraction form
    202,535.74/303,994.30 = 102,767.54/x
  3. Step 3: Cross multiply
    202,535.74x = 303,994.30 × 102,767.54
  4. Step 4: Simplify right side
    202,535.74x = 31,240,746,385.02
  5. Step 5: Solve for x
    x = 31,240,746,385.02/202,535.74
  6. Step 6: Final answer
    x = 154,248.07

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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.