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Finding the Fourth Proportional to 234,955.40, 352,433.10 and 164,096.60

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Solution

The fourth proportional to 234,955.40, 352,433.10 and 164,096.60 is: 246,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,955.40 : 352,433.10 = 164,096.60 : x
  2. Step 2: Convert to fraction form
    234,955.40/352,433.10 = 164,096.60/x
  3. Step 3: Cross multiply
    234,955.40x = 352,433.10 × 164,096.60
  4. Step 4: Simplify right side
    234,955.40x = 57,833,073,437.46
  5. Step 5: Solve for x
    x = 57,833,073,437.46/234,955.40
  6. Step 6: Final answer
    x = 246,144.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.