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Finding the Fourth Proportional to 157,353.32, 217,228 and 106,634

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Solution

The fourth proportional to 157,353.32, 217,228 and 106,634 is: 147,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,353.32 : 217,228 = 106,634 : x
  2. Step 2: Convert to fraction form
    157,353.32/217,228 = 106,634/x
  3. Step 3: Cross multiply
    157,353.32x = 217,228 × 106,634
  4. Step 4: Simplify right side
    157,353.32x = 23,163,890,552
  5. Step 5: Solve for x
    x = 23,163,890,552/157,353.32
  6. Step 6: Final answer
    x = 147,209.42

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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.