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Finding the Fourth Proportional to 202,550.10, 302,950.35 and 171,057.30

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Solution

The fourth proportional to 202,550.10, 302,950.35 and 171,057.30 is: 255,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,550.10 : 302,950.35 = 171,057.30 : x
  2. Step 2: Convert to fraction form
    202,550.10/302,950.35 = 171,057.30/x
  3. Step 3: Cross multiply
    202,550.10x = 302,950.35 × 171,057.30
  4. Step 4: Simplify right side
    202,550.10x = 51,821,868,905.06
  5. Step 5: Solve for x
    x = 51,821,868,905.06/202,550.10
  6. Step 6: Final answer
    x = 255,847.17

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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.