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Finding the Fourth Proportional to 202,439.40, 303,659.10 and 77,783.40

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Solution

The fourth proportional to 202,439.40, 303,659.10 and 77,783.40 is: 116,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,439.40 : 303,659.10 = 77,783.40 : x
  2. Step 2: Convert to fraction form
    202,439.40/303,659.10 = 77,783.40/x
  3. Step 3: Cross multiply
    202,439.40x = 303,659.10 × 77,783.40
  4. Step 4: Simplify right side
    202,439.40x = 23,619,637,238.94
  5. Step 5: Solve for x
    x = 23,619,637,238.94/202,439.40
  6. Step 6: Final answer
    x = 116,675.10

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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.