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Finding the Fourth Proportional to 130,991.76, 196,323.21 and 56,023.74

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Solution

The fourth proportional to 130,991.76, 196,323.21 and 56,023.74 is: 83,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,991.76 : 196,323.21 = 56,023.74 : x
  2. Step 2: Convert to fraction form
    130,991.76/196,323.21 = 56,023.74/x
  3. Step 3: Cross multiply
    130,991.76x = 196,323.21 × 56,023.74
  4. Step 4: Simplify right side
    130,991.76x = 10,998,760,473.01
  5. Step 5: Solve for x
    x = 10,998,760,473.01/130,991.76
  6. Step 6: Final answer
    x = 83,965.29

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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.