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Finding the Fourth Proportional to 207,194.93, 310,761.60 and 57,419.60

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Solution

The fourth proportional to 207,194.93, 310,761.60 and 57,419.60 is: 86,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,194.93 : 310,761.60 = 57,419.60 : x
  2. Step 2: Convert to fraction form
    207,194.93/310,761.60 = 57,419.60/x
  3. Step 3: Cross multiply
    207,194.93x = 310,761.60 × 57,419.60
  4. Step 4: Simplify right side
    207,194.93x = 17,843,804,926.45
  5. Step 5: Solve for x
    x = 17,843,804,926.45/207,194.93
  6. Step 6: Final answer
    x = 86,120.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.