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Finding the Fourth Proportional to 202,081, 303,055.44 and 95,448.28

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Solution

The fourth proportional to 202,081, 303,055.44 and 95,448.28 is: 143,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,081 : 303,055.44 = 95,448.28 : x
  2. Step 2: Convert to fraction form
    202,081/303,055.44 = 95,448.28/x
  3. Step 3: Cross multiply
    202,081x = 303,055.44 × 95,448.28
  4. Step 4: Simplify right side
    202,081x = 28,926,120,492.64
  5. Step 5: Solve for x
    x = 28,926,120,492.64/202,081
  6. Step 6: Final answer
    x = 143,141.22

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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.