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Finding the Fourth Proportional to 150,144, 225,218.88 and 56,693.76

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Solution

The fourth proportional to 150,144, 225,218.88 and 56,693.76 is: 85,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,144 : 225,218.88 = 56,693.76 : x
  2. Step 2: Convert to fraction form
    150,144/225,218.88 = 56,693.76/x
  3. Step 3: Cross multiply
    150,144x = 225,218.88 × 56,693.76
  4. Step 4: Simplify right side
    150,144x = 12,768,505,130.19
  5. Step 5: Solve for x
    x = 12,768,505,130.19/150,144
  6. Step 6: Final answer
    x = 85,041.73

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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.