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Finding the Fourth Proportional to 110,509.60, 165,880.34 and 97,939.77

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Solution

The fourth proportional to 110,509.60, 165,880.34 and 97,939.77 is: 147,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.60 : 165,880.34 = 97,939.77 : x
  2. Step 2: Convert to fraction form
    110,509.60/165,880.34 = 97,939.77/x
  3. Step 3: Cross multiply
    110,509.60x = 165,880.34 × 97,939.77
  4. Step 4: Simplify right side
    110,509.60x = 16,246,282,347.12
  5. Step 5: Solve for x
    x = 16,246,282,347.12/110,509.60
  6. Step 6: Final answer
    x = 147,012.41

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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.