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Finding the Fourth Proportional to 233,231.40, 350,106.30 and 128,255.40

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Solution

The fourth proportional to 233,231.40, 350,106.30 and 128,255.40 is: 192,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231.40 : 350,106.30 = 128,255.40 : x
  2. Step 2: Convert to fraction form
    233,231.40/350,106.30 = 128,255.40/x
  3. Step 3: Cross multiply
    233,231.40x = 350,106.30 × 128,255.40
  4. Step 4: Simplify right side
    233,231.40x = 44,903,023,549.02
  5. Step 5: Solve for x
    x = 44,903,023,549.02/233,231.40
  6. Step 6: Final answer
    x = 192,525.64

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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.