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Finding the Fourth Proportional to 205,056.60, 307,296.90 and 163,008.60

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Solution

The fourth proportional to 205,056.60, 307,296.90 and 163,008.60 is: 244,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,056.60 : 307,296.90 = 163,008.60 : x
  2. Step 2: Convert to fraction form
    205,056.60/307,296.90 = 163,008.60/x
  3. Step 3: Cross multiply
    205,056.60x = 307,296.90 × 163,008.60
  4. Step 4: Simplify right side
    205,056.60x = 50,092,037,453.34
  5. Step 5: Solve for x
    x = 50,092,037,453.34/205,056.60
  6. Step 6: Final answer
    x = 244,283.96

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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.