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Finding the Fourth Proportional to 233,807.22, 350,624.70 and 84,007.44

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Solution

The fourth proportional to 233,807.22, 350,624.70 and 84,007.44 is: 125,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,807.22 : 350,624.70 = 84,007.44 : x
  2. Step 2: Convert to fraction form
    233,807.22/350,624.70 = 84,007.44/x
  3. Step 3: Cross multiply
    233,807.22x = 350,624.70 × 84,007.44
  4. Step 4: Simplify right side
    233,807.22x = 29,455,083,447.77
  5. Step 5: Solve for x
    x = 29,455,083,447.77/233,807.22
  6. Step 6: Final answer
    x = 125,980.21

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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.