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Finding the Fourth Proportional to 202,646.13, 303,906 and 76,303.95

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Solution

The fourth proportional to 202,646.13, 303,906 and 76,303.95 is: 114,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.13 : 303,906 = 76,303.95 : x
  2. Step 2: Convert to fraction form
    202,646.13/303,906 = 76,303.95/x
  3. Step 3: Cross multiply
    202,646.13x = 303,906 × 76,303.95
  4. Step 4: Simplify right side
    202,646.13x = 23,189,228,228.70
  5. Step 5: Solve for x
    x = 23,189,228,228.70/202,646.13
  6. Step 6: Final answer
    x = 114,432.13

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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.