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Finding the Fourth Proportional to 233,127.96, 321,704.84 and 137,616.18

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Solution

The fourth proportional to 233,127.96, 321,704.84 and 137,616.18 is: 189,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,127.96 : 321,704.84 = 137,616.18 : x
  2. Step 2: Convert to fraction form
    233,127.96/321,704.84 = 137,616.18/x
  3. Step 3: Cross multiply
    233,127.96x = 321,704.84 × 137,616.18
  4. Step 4: Simplify right side
    233,127.96x = 44,271,791,168.31
  5. Step 5: Solve for x
    x = 44,271,791,168.31/233,127.96
  6. Step 6: Final answer
    x = 189,903.40

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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.