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Finding the Fourth Proportional to 146,817, 202,607.46 and 79,749

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Solution

The fourth proportional to 146,817, 202,607.46 and 79,749 is: 110,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,817 : 202,607.46 = 79,749 : x
  2. Step 2: Convert to fraction form
    146,817/202,607.46 = 79,749/x
  3. Step 3: Cross multiply
    146,817x = 202,607.46 × 79,749
  4. Step 4: Simplify right side
    146,817x = 16,157,742,327.54
  5. Step 5: Solve for x
    x = 16,157,742,327.54/146,817
  6. Step 6: Final answer
    x = 110,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.