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Finding the Fourth Proportional to 152,294.40, 228,441.60 and 135,964.80

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Solution

The fourth proportional to 152,294.40, 228,441.60 and 135,964.80 is: 203,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294.40 : 228,441.60 = 135,964.80 : x
  2. Step 2: Convert to fraction form
    152,294.40/228,441.60 = 135,964.80/x
  3. Step 3: Cross multiply
    152,294.40x = 228,441.60 × 135,964.80
  4. Step 4: Simplify right side
    152,294.40x = 31,060,016,455.68
  5. Step 5: Solve for x
    x = 31,060,016,455.68/152,294.40
  6. Step 6: Final answer
    x = 203,947.20

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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.