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Finding the Fourth Proportional to 285,148.89, 393,603.84 and 164,338.43

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Solution

The fourth proportional to 285,148.89, 393,603.84 and 164,338.43 is: 226,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,148.89 : 393,603.84 = 164,338.43 : x
  2. Step 2: Convert to fraction form
    285,148.89/393,603.84 = 164,338.43/x
  3. Step 3: Cross multiply
    285,148.89x = 393,603.84 × 164,338.43
  4. Step 4: Simplify right side
    285,148.89x = 64,684,235,139.55
  5. Step 5: Solve for x
    x = 64,684,235,139.55/285,148.89
  6. Step 6: Final answer
    x = 226,843.72

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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.