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Finding the Fourth Proportional to 202,377.80, 303,566.70 and 109,065.80

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Solution

The fourth proportional to 202,377.80, 303,566.70 and 109,065.80 is: 163,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,377.80 : 303,566.70 = 109,065.80 : x
  2. Step 2: Convert to fraction form
    202,377.80/303,566.70 = 109,065.80/x
  3. Step 3: Cross multiply
    202,377.80x = 303,566.70 × 109,065.80
  4. Step 4: Simplify right side
    202,377.80x = 33,108,744,988.86
  5. Step 5: Solve for x
    x = 33,108,744,988.86/202,377.80
  6. Step 6: Final answer
    x = 163,598.70

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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.