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Finding the Fourth Proportional to 152,817.40, 228,788.70 and 135,321.40

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Solution

The fourth proportional to 152,817.40, 228,788.70 and 135,321.40 is: 202,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,817.40 : 228,788.70 = 135,321.40 : x
  2. Step 2: Convert to fraction form
    152,817.40/228,788.70 = 135,321.40/x
  3. Step 3: Cross multiply
    152,817.40x = 228,788.70 × 135,321.40
  4. Step 4: Simplify right side
    152,817.40x = 30,960,007,188.18
  5. Step 5: Solve for x
    x = 30,960,007,188.18/152,817.40
  6. Step 6: Final answer
    x = 202,594.78

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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.