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Finding the Fourth Proportional to 202,178.10, 303,263 and 89,827.86

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Solution

The fourth proportional to 202,178.10, 303,263 and 89,827.86 is: 134,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,178.10 : 303,263 = 89,827.86 : x
  2. Step 2: Convert to fraction form
    202,178.10/303,263 = 89,827.86/x
  3. Step 3: Cross multiply
    202,178.10x = 303,263 × 89,827.86
  4. Step 4: Simplify right side
    202,178.10x = 27,241,466,307.18
  5. Step 5: Solve for x
    x = 27,241,466,307.18/202,178.10
  6. Step 6: Final answer
    x = 134,739.95

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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.