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Finding the Fourth Proportional to 202,157.30, 302,989.97 and 143,010.02

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Solution

The fourth proportional to 202,157.30, 302,989.97 and 143,010.02 is: 214,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157.30 : 302,989.97 = 143,010.02 : x
  2. Step 2: Convert to fraction form
    202,157.30/302,989.97 = 143,010.02/x
  3. Step 3: Cross multiply
    202,157.30x = 302,989.97 × 143,010.02
  4. Step 4: Simplify right side
    202,157.30x = 43,330,601,669.50
  5. Step 5: Solve for x
    x = 43,330,601,669.50/202,157.30
  6. Step 6: Final answer
    x = 214,341.02

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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.