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Finding the Fourth Proportional to 233,541.14, 350,445.02 and 91,398.02

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Solution

The fourth proportional to 233,541.14, 350,445.02 and 91,398.02 is: 137,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,541.14 : 350,445.02 = 91,398.02 : x
  2. Step 2: Convert to fraction form
    233,541.14/350,445.02 = 91,398.02/x
  3. Step 3: Cross multiply
    233,541.14x = 350,445.02 × 91,398.02
  4. Step 4: Simplify right side
    233,541.14x = 32,029,978,737.65
  5. Step 5: Solve for x
    x = 32,029,978,737.65/233,541.14
  6. Step 6: Final answer
    x = 137,149.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.