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Finding the Fourth Proportional to 233,287.62, 349,986.96 and 75,516.06

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Solution

The fourth proportional to 233,287.62, 349,986.96 and 75,516.06 is: 113,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,287.62 : 349,986.96 = 75,516.06 : x
  2. Step 2: Convert to fraction form
    233,287.62/349,986.96 = 75,516.06/x
  3. Step 3: Cross multiply
    233,287.62x = 349,986.96 × 75,516.06
  4. Step 4: Simplify right side
    233,287.62x = 26,429,636,270.58
  5. Step 5: Solve for x
    x = 26,429,636,270.58/233,287.62
  6. Step 6: Final answer
    x = 113,292.07

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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.