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Finding the Fourth Proportional to 164,562.22, 246,707.25 and 75,740.86

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Solution

The fourth proportional to 164,562.22, 246,707.25 and 75,740.86 is: 113,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,562.22 : 246,707.25 = 75,740.86 : x
  2. Step 2: Convert to fraction form
    164,562.22/246,707.25 = 75,740.86/x
  3. Step 3: Cross multiply
    164,562.22x = 246,707.25 × 75,740.86
  4. Step 4: Simplify right side
    164,562.22x = 18,685,819,283.24
  5. Step 5: Solve for x
    x = 18,685,819,283.24/164,562.22
  6. Step 6: Final answer
    x = 113,548.66

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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.