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Finding the Fourth Proportional to 110,509.49, 165,880.17 and 97,939.67

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Solution

The fourth proportional to 110,509.49, 165,880.17 and 97,939.67 is: 147,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.49 : 165,880.17 = 97,939.67 : x
  2. Step 2: Convert to fraction form
    110,509.49/165,880.17 = 97,939.67/x
  3. Step 3: Cross multiply
    110,509.49x = 165,880.17 × 97,939.67
  4. Step 4: Simplify right side
    110,509.49x = 16,246,248,279.94
  5. Step 5: Solve for x
    x = 16,246,248,279.94/110,509.49
  6. Step 6: Final answer
    x = 147,012.24

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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.