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Finding the Fourth Proportional to 233,500.65, 350,361.69 and 138,917.68

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Solution

The fourth proportional to 233,500.65, 350,361.69 and 138,917.68 is: 208,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,500.65 : 350,361.69 = 138,917.68 : x
  2. Step 2: Convert to fraction form
    233,500.65/350,361.69 = 138,917.68/x
  3. Step 3: Cross multiply
    233,500.65x = 350,361.69 × 138,917.68
  4. Step 4: Simplify right side
    233,500.65x = 48,671,434,295.68
  5. Step 5: Solve for x
    x = 48,671,434,295.68/233,500.65
  6. Step 6: Final answer
    x = 208,442.39

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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.