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Finding the Fourth Proportional to 285,137.34, 393,577.18 and 164,359.36

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Solution

The fourth proportional to 285,137.34, 393,577.18 and 164,359.36 is: 226,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,137.34 : 393,577.18 = 164,359.36 : x
  2. Step 2: Convert to fraction form
    285,137.34/393,577.18 = 164,359.36/x
  3. Step 3: Cross multiply
    285,137.34x = 393,577.18 × 164,359.36
  4. Step 4: Simplify right side
    285,137.34x = 64,688,093,415.40
  5. Step 5: Solve for x
    x = 64,688,093,415.40/285,137.34
  6. Step 6: Final answer
    x = 226,866.44

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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.