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Finding the Fourth Proportional to 154,771.12, 232,177.32 and 61,255

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Solution

The fourth proportional to 154,771.12, 232,177.32 and 61,255 is: 91,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,771.12 : 232,177.32 = 61,255 : x
  2. Step 2: Convert to fraction form
    154,771.12/232,177.32 = 61,255/x
  3. Step 3: Cross multiply
    154,771.12x = 232,177.32 × 61,255
  4. Step 4: Simplify right side
    154,771.12x = 14,222,021,736.60
  5. Step 5: Solve for x
    x = 14,222,021,736.60/154,771.12
  6. Step 6: Final answer
    x = 91,890.67

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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.