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Finding the Fourth Proportional to 110,351.80, 165,527.70 and 97,667.20

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Solution

The fourth proportional to 110,351.80, 165,527.70 and 97,667.20 is: 146,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,351.80 : 165,527.70 = 97,667.20 : x
  2. Step 2: Convert to fraction form
    110,351.80/165,527.70 = 97,667.20/x
  3. Step 3: Cross multiply
    110,351.80x = 165,527.70 × 97,667.20
  4. Step 4: Simplify right side
    110,351.80x = 16,166,626,981.44
  5. Step 5: Solve for x
    x = 16,166,626,981.44/110,351.80
  6. Step 6: Final answer
    x = 146,500.80

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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.