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Finding the Fourth Proportional to 285,153.32, 393,415.49 and 164,291.60

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Solution

The fourth proportional to 285,153.32, 393,415.49 and 164,291.60 is: 226,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,153.32 : 393,415.49 = 164,291.60 : x
  2. Step 2: Convert to fraction form
    285,153.32/393,415.49 = 164,291.60/x
  3. Step 3: Cross multiply
    285,153.32x = 393,415.49 × 164,291.60
  4. Step 4: Simplify right side
    285,153.32x = 64,634,857,528.35
  5. Step 5: Solve for x
    x = 64,634,857,528.35/285,153.32
  6. Step 6: Final answer
    x = 226,667.04

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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.