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Finding the Fourth Proportional to 202,029.57, 302,978.75 and 95,397.03

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Solution

The fourth proportional to 202,029.57, 302,978.75 and 95,397.03 is: 143,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,029.57 : 302,978.75 = 95,397.03 : x
  2. Step 2: Convert to fraction form
    202,029.57/302,978.75 = 95,397.03/x
  3. Step 3: Cross multiply
    202,029.57x = 302,978.75 × 95,397.03
  4. Step 4: Simplify right side
    202,029.57x = 28,903,272,426.13
  5. Step 5: Solve for x
    x = 28,903,272,426.13/202,029.57
  6. Step 6: Final answer
    x = 143,064.56

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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.