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Finding the Fourth Proportional to 109,047.20, 164,008.20 and 97,674.80

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Solution

The fourth proportional to 109,047.20, 164,008.20 and 97,674.80 is: 146,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,047.20 : 164,008.20 = 97,674.80 : x
  2. Step 2: Convert to fraction form
    109,047.20/164,008.20 = 97,674.80/x
  3. Step 3: Cross multiply
    109,047.20x = 164,008.20 × 97,674.80
  4. Step 4: Simplify right side
    109,047.20x = 16,019,468,133.36
  5. Step 5: Solve for x
    x = 16,019,468,133.36/109,047.20
  6. Step 6: Final answer
    x = 146,903.98

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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.