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Finding the Fourth Proportional to 109,946.80, 164,920.20 and 83,702.80

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Solution

The fourth proportional to 109,946.80, 164,920.20 and 83,702.80 is: 125,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946.80 : 164,920.20 = 83,702.80 : x
  2. Step 2: Convert to fraction form
    109,946.80/164,920.20 = 83,702.80/x
  3. Step 3: Cross multiply
    109,946.80x = 164,920.20 × 83,702.80
  4. Step 4: Simplify right side
    109,946.80x = 13,804,282,516.56
  5. Step 5: Solve for x
    x = 13,804,282,516.56/109,946.80
  6. Step 6: Final answer
    x = 125,554.20

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1.5x scale

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.