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Finding the Fourth Proportional to 285,145.90, 393,519.61 and 164,284.99

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Solution

The fourth proportional to 285,145.90, 393,519.61 and 164,284.99 is: 226,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,145.90 : 393,519.61 = 164,284.99 : x
  2. Step 2: Convert to fraction form
    285,145.90/393,519.61 = 164,284.99/x
  3. Step 3: Cross multiply
    285,145.90x = 393,519.61 × 164,284.99
  4. Step 4: Simplify right side
    285,145.90x = 64,649,364,782.94
  5. Step 5: Solve for x
    x = 64,649,364,782.94/285,145.90
  6. Step 6: Final answer
    x = 226,723.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.