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Finding the Fourth Proportional to 205,500.50, 308,312.91 and 145,644.74

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Solution

The fourth proportional to 205,500.50, 308,312.91 and 145,644.74 is: 218,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500.50 : 308,312.91 = 145,644.74 : x
  2. Step 2: Convert to fraction form
    205,500.50/308,312.91 = 145,644.74/x
  3. Step 3: Cross multiply
    205,500.50x = 308,312.91 × 145,644.74
  4. Step 4: Simplify right side
    205,500.50x = 44,904,153,615.59
  5. Step 5: Solve for x
    x = 44,904,153,615.59/205,500.50
  6. Step 6: Final answer
    x = 218,511.16

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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.