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Finding the Fourth Proportional to 230,382.95, 317,918.22 and 128,419.53

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Solution

The fourth proportional to 230,382.95, 317,918.22 and 128,419.53 is: 177,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382.95 : 317,918.22 = 128,419.53 : x
  2. Step 2: Convert to fraction form
    230,382.95/317,918.22 = 128,419.53/x
  3. Step 3: Cross multiply
    230,382.95x = 317,918.22 × 128,419.53
  4. Step 4: Simplify right side
    230,382.95x = 40,826,908,390.84
  5. Step 5: Solve for x
    x = 40,826,908,390.84/230,382.95
  6. Step 6: Final answer
    x = 177,213.24

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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.