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Finding the Fourth Proportional to 207,946.90, 311,920.35 and 202,114.90

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Solution

The fourth proportional to 207,946.90, 311,920.35 and 202,114.90 is: 303,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,946.90 : 311,920.35 = 202,114.90 : x
  2. Step 2: Convert to fraction form
    207,946.90/311,920.35 = 202,114.90/x
  3. Step 3: Cross multiply
    207,946.90x = 311,920.35 × 202,114.90
  4. Step 4: Simplify right side
    207,946.90x = 63,043,750,348.22
  5. Step 5: Solve for x
    x = 63,043,750,348.22/207,946.90
  6. Step 6: Final answer
    x = 303,172.35

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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.