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Finding the Fourth Proportional to 174,893.65, 262,337.54 and 78,777.41

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Solution

The fourth proportional to 174,893.65, 262,337.54 and 78,777.41 is: 118,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893.65 : 262,337.54 = 78,777.41 : x
  2. Step 2: Convert to fraction form
    174,893.65/262,337.54 = 78,777.41/x
  3. Step 3: Cross multiply
    174,893.65x = 262,337.54 × 78,777.41
  4. Step 4: Simplify right side
    174,893.65x = 20,666,270,241.40
  5. Step 5: Solve for x
    x = 20,666,270,241.40/174,893.65
  6. Step 6: Final answer
    x = 118,164.78

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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.