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Finding the Fourth Proportional to 146,534.10, 219,801.15 and 145,497.30

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Solution

The fourth proportional to 146,534.10, 219,801.15 and 145,497.30 is: 218,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,534.10 : 219,801.15 = 145,497.30 : x
  2. Step 2: Convert to fraction form
    146,534.10/219,801.15 = 145,497.30/x
  3. Step 3: Cross multiply
    146,534.10x = 219,801.15 × 145,497.30
  4. Step 4: Simplify right side
    146,534.10x = 31,980,473,861.90
  5. Step 5: Solve for x
    x = 31,980,473,861.90/146,534.10
  6. Step 6: Final answer
    x = 218,245.95

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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.