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Finding the Fourth Proportional to 202,029.32, 302,978.36 and 95,396.78

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Solution

The fourth proportional to 202,029.32, 302,978.36 and 95,396.78 is: 143,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,029.32 : 302,978.36 = 95,396.78 : x
  2. Step 2: Convert to fraction form
    202,029.32/302,978.36 = 95,396.78/x
  3. Step 3: Cross multiply
    202,029.32x = 302,978.36 × 95,396.78
  4. Step 4: Simplify right side
    202,029.32x = 28,903,159,953.68
  5. Step 5: Solve for x
    x = 28,903,159,953.68/202,029.32
  6. Step 6: Final answer
    x = 143,064.18

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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.