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Finding the Fourth Proportional to 164,762.26, 247,144.70 and 107,884.11

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Solution

The fourth proportional to 164,762.26, 247,144.70 and 107,884.11 is: 161,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,762.26 : 247,144.70 = 107,884.11 : x
  2. Step 2: Convert to fraction form
    164,762.26/247,144.70 = 107,884.11/x
  3. Step 3: Cross multiply
    164,762.26x = 247,144.70 × 107,884.11
  4. Step 4: Simplify right side
    164,762.26x = 26,662,986,000.72
  5. Step 5: Solve for x
    x = 26,662,986,000.72/164,762.26
  6. Step 6: Final answer
    x = 161,827.02

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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.