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Finding the Fourth Proportional to 202,269.40, 303,404.10 and 127,619.80

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Solution

The fourth proportional to 202,269.40, 303,404.10 and 127,619.80 is: 191,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269.40 : 303,404.10 = 127,619.80 : x
  2. Step 2: Convert to fraction form
    202,269.40/303,404.10 = 127,619.80/x
  3. Step 3: Cross multiply
    202,269.40x = 303,404.10 × 127,619.80
  4. Step 4: Simplify right side
    202,269.40x = 38,720,370,561.18
  5. Step 5: Solve for x
    x = 38,720,370,561.18/202,269.40
  6. Step 6: Final answer
    x = 191,429.70

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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.