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Finding the Fourth Proportional to 202,032.57, 302,983.25 and 95,400.03

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Solution

The fourth proportional to 202,032.57, 302,983.25 and 95,400.03 is: 143,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.57 : 302,983.25 = 95,400.03 : x
  2. Step 2: Convert to fraction form
    202,032.57/302,983.25 = 95,400.03/x
  3. Step 3: Cross multiply
    202,032.57x = 302,983.25 × 95,400.03
  4. Step 4: Simplify right side
    202,032.57x = 28,904,610,662.50
  5. Step 5: Solve for x
    x = 28,904,610,662.50/202,032.57
  6. Step 6: Final answer
    x = 143,069.06

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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.