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Finding the Fourth Proportional to 362,321.30, 543,611.55 and 152,023.70

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Solution

The fourth proportional to 362,321.30, 543,611.55 and 152,023.70 is: 228,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,321.30 : 543,611.55 = 152,023.70 : x
  2. Step 2: Convert to fraction form
    362,321.30/543,611.55 = 152,023.70/x
  3. Step 3: Cross multiply
    362,321.30x = 543,611.55 × 152,023.70
  4. Step 4: Simplify right side
    362,321.30x = 82,641,839,193.74
  5. Step 5: Solve for x
    x = 82,641,839,193.74/362,321.30
  6. Step 6: Final answer
    x = 228,089.93

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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.