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Finding the Fourth Proportional to 233,687.54, 350,590.35 and 65,207.75

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Solution

The fourth proportional to 233,687.54, 350,590.35 and 65,207.75 is: 97,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,687.54 : 350,590.35 = 65,207.75 : x
  2. Step 2: Convert to fraction form
    233,687.54/350,590.35 = 65,207.75/x
  3. Step 3: Cross multiply
    233,687.54x = 350,590.35 × 65,207.75
  4. Step 4: Simplify right side
    233,687.54x = 22,861,207,895.21
  5. Step 5: Solve for x
    x = 22,861,207,895.21/233,687.54
  6. Step 6: Final answer
    x = 97,828.10

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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.