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Finding the Fourth Proportional to 233,403.96, 350,157.78 and 67,179

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Solution

The fourth proportional to 233,403.96, 350,157.78 and 67,179 is: 100,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,403.96 : 350,157.78 = 67,179 : x
  2. Step 2: Convert to fraction form
    233,403.96/350,157.78 = 67,179/x
  3. Step 3: Cross multiply
    233,403.96x = 350,157.78 × 67,179
  4. Step 4: Simplify right side
    233,403.96x = 23,523,249,502.62
  5. Step 5: Solve for x
    x = 23,523,249,502.62/233,403.96
  6. Step 6: Final answer
    x = 100,783.42

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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.