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Finding the Fourth Proportional to 357,144.54, 535,742.73 and 107,845.98

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Solution

The fourth proportional to 357,144.54, 535,742.73 and 107,845.98 is: 161,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,144.54 : 535,742.73 = 107,845.98 : x
  2. Step 2: Convert to fraction form
    357,144.54/535,742.73 = 107,845.98/x
  3. Step 3: Cross multiply
    357,144.54x = 535,742.73 × 107,845.98
  4. Step 4: Simplify right side
    357,144.54x = 57,777,699,744.73
  5. Step 5: Solve for x
    x = 57,777,699,744.73/357,144.54
  6. Step 6: Final answer
    x = 161,776.80

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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.