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Finding the Fourth Proportional to 101,967.64, 152,973.34 and 42,769.19

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Solution

The fourth proportional to 101,967.64, 152,973.34 and 42,769.19 is: 64,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.64 : 152,973.34 = 42,769.19 : x
  2. Step 2: Convert to fraction form
    101,967.64/152,973.34 = 42,769.19/x
  3. Step 3: Cross multiply
    101,967.64x = 152,973.34 × 42,769.19
  4. Step 4: Simplify right side
    101,967.64x = 6,542,546,118.90
  5. Step 5: Solve for x
    x = 6,542,546,118.90/101,967.64
  6. Step 6: Final answer
    x = 64,162.97

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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.