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Finding the Fourth Proportional to 233,771.30, 350,667.39 and 71,653.40

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Solution

The fourth proportional to 233,771.30, 350,667.39 and 71,653.40 is: 107,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,771.30 : 350,667.39 = 71,653.40 : x
  2. Step 2: Convert to fraction form
    233,771.30/350,667.39 = 71,653.40/x
  3. Step 3: Cross multiply
    233,771.30x = 350,667.39 × 71,653.40
  4. Step 4: Simplify right side
    233,771.30x = 25,126,509,009.29
  5. Step 5: Solve for x
    x = 25,126,509,009.29/233,771.30
  6. Step 6: Final answer
    x = 107,483.29

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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.