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Finding the Fourth Proportional to 97,867.20, 146,606.40 and 53,414.40

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Solution

The fourth proportional to 97,867.20, 146,606.40 and 53,414.40 is: 80,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,867.20 : 146,606.40 = 53,414.40 : x
  2. Step 2: Convert to fraction form
    97,867.20/146,606.40 = 53,414.40/x
  3. Step 3: Cross multiply
    97,867.20x = 146,606.40 × 53,414.40
  4. Step 4: Simplify right side
    97,867.20x = 7,830,892,892.16
  5. Step 5: Solve for x
    x = 7,830,892,892.16/97,867.20
  6. Step 6: Final answer
    x = 80,015.50

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