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Finding the Fourth Proportional to 137,728.50, 190,074.74 and 76,477.85

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Solution

The fourth proportional to 137,728.50, 190,074.74 and 76,477.85 is: 105,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.50 : 190,074.74 = 76,477.85 : x
  2. Step 2: Convert to fraction form
    137,728.50/190,074.74 = 76,477.85/x
  3. Step 3: Cross multiply
    137,728.50x = 190,074.74 × 76,477.85
  4. Step 4: Simplify right side
    137,728.50x = 14,536,507,454.51
  5. Step 5: Solve for x
    x = 14,536,507,454.51/137,728.50
  6. Step 6: Final answer
    x = 105,544.66

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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.