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Finding the Fourth Proportional to 109,362.80, 164,080.65 and 97,604.30

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Solution

The fourth proportional to 109,362.80, 164,080.65 and 97,604.30 is: 146,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,362.80 : 164,080.65 = 97,604.30 : x
  2. Step 2: Convert to fraction form
    109,362.80/164,080.65 = 97,604.30/x
  3. Step 3: Cross multiply
    109,362.80x = 164,080.65 × 97,604.30
  4. Step 4: Simplify right side
    109,362.80x = 16,014,976,986.80
  5. Step 5: Solve for x
    x = 16,014,976,986.80/109,362.80
  6. Step 6: Final answer
    x = 146,438.98

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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.