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Finding the Fourth Proportional to 202,298.60, 303,620.70 and 90,151.40

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Solution

The fourth proportional to 202,298.60, 303,620.70 and 90,151.40 is: 135,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.60 : 303,620.70 = 90,151.40 : x
  2. Step 2: Convert to fraction form
    202,298.60/303,620.70 = 90,151.40/x
  3. Step 3: Cross multiply
    202,298.60x = 303,620.70 × 90,151.40
  4. Step 4: Simplify right side
    202,298.60x = 27,371,831,173.98
  5. Step 5: Solve for x
    x = 27,371,831,173.98/202,298.60
  6. Step 6: Final answer
    x = 135,304.11

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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.