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Finding the Fourth Proportional to 230,114.88, 317,548.32 and 128,145.60

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Solution

The fourth proportional to 230,114.88, 317,548.32 and 128,145.60 is: 176,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,114.88 : 317,548.32 = 128,145.60 : x
  2. Step 2: Convert to fraction form
    230,114.88/317,548.32 = 128,145.60/x
  3. Step 3: Cross multiply
    230,114.88x = 317,548.32 × 128,145.60
  4. Step 4: Simplify right side
    230,114.88x = 40,692,419,995.39
  5. Step 5: Solve for x
    x = 40,692,419,995.39/230,114.88
  6. Step 6: Final answer
    x = 176,835.24

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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.