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Finding the Fourth Proportional to 109,946.70, 164,920.05 and 97,480.80

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Solution

The fourth proportional to 109,946.70, 164,920.05 and 97,480.80 is: 146,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946.70 : 164,920.05 = 97,480.80 : x
  2. Step 2: Convert to fraction form
    109,946.70/164,920.05 = 97,480.80/x
  3. Step 3: Cross multiply
    109,946.70x = 164,920.05 × 97,480.80
  4. Step 4: Simplify right side
    109,946.70x = 16,076,538,410.04
  5. Step 5: Solve for x
    x = 16,076,538,410.04/109,946.70
  6. Step 6: Final answer
    x = 146,221.20

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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.