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Finding the Fourth Proportional to 212,850.74, 293,736.32 and 116,053.80

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Solution

The fourth proportional to 212,850.74, 293,736.32 and 116,053.80 is: 160,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850.74 : 293,736.32 = 116,053.80 : x
  2. Step 2: Convert to fraction form
    212,850.74/293,736.32 = 116,053.80/x
  3. Step 3: Cross multiply
    212,850.74x = 293,736.32 × 116,053.80
  4. Step 4: Simplify right side
    212,850.74x = 34,089,216,134.02
  5. Step 5: Solve for x
    x = 34,089,216,134.02/212,850.74
  6. Step 6: Final answer
    x = 160,155.50

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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.