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Finding the Fourth Proportional to 310,878.68, 466,268.26 and 111,161.80

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Solution

The fourth proportional to 310,878.68, 466,268.26 and 111,161.80 is: 166,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878.68 : 466,268.26 = 111,161.80 : x
  2. Step 2: Convert to fraction form
    310,878.68/466,268.26 = 111,161.80/x
  3. Step 3: Cross multiply
    310,878.68x = 466,268.26 × 111,161.80
  4. Step 4: Simplify right side
    310,878.68x = 51,831,219,064.47
  5. Step 5: Solve for x
    x = 51,831,219,064.47/310,878.68
  6. Step 6: Final answer
    x = 166,724.91

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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.