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Finding the Fourth Proportional to 202,265.40, 303,325.20 and 102,392.40

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Solution

The fourth proportional to 202,265.40, 303,325.20 and 102,392.40 is: 153,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,265.40 : 303,325.20 = 102,392.40 : x
  2. Step 2: Convert to fraction form
    202,265.40/303,325.20 = 102,392.40/x
  3. Step 3: Cross multiply
    202,265.40x = 303,325.20 × 102,392.40
  4. Step 4: Simplify right side
    202,265.40x = 31,058,195,208.48
  5. Step 5: Solve for x
    x = 31,058,195,208.48/202,265.40
  6. Step 6: Final answer
    x = 153,551.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.