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Finding the Fourth Proportional to 109,494.80, 164,047.80 and 102,496.40

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Solution

The fourth proportional to 109,494.80, 164,047.80 and 102,496.40 is: 153,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494.80 : 164,047.80 = 102,496.40 : x
  2. Step 2: Convert to fraction form
    109,494.80/164,047.80 = 102,496.40/x
  3. Step 3: Cross multiply
    109,494.80x = 164,047.80 × 102,496.40
  4. Step 4: Simplify right side
    109,494.80x = 16,814,308,927.92
  5. Step 5: Solve for x
    x = 16,814,308,927.92/109,494.80
  6. Step 6: Final answer
    x = 153,562.63

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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.