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Finding the Fourth Proportional to 152,928, 211,040.64 and 85,861.44

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Solution

The fourth proportional to 152,928, 211,040.64 and 85,861.44 is: 118,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,928 : 211,040.64 = 85,861.44 : x
  2. Step 2: Convert to fraction form
    152,928/211,040.64 = 85,861.44/x
  3. Step 3: Cross multiply
    152,928x = 211,040.64 × 85,861.44
  4. Step 4: Simplify right side
    152,928x = 18,120,253,248.92
  5. Step 5: Solve for x
    x = 18,120,253,248.92/152,928
  6. Step 6: Final answer
    x = 118,488.79

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