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Finding the Fourth Proportional to 209,961.80, 314,942.70 and 130,063.40

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Solution

The fourth proportional to 209,961.80, 314,942.70 and 130,063.40 is: 195,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,961.80 : 314,942.70 = 130,063.40 : x
  2. Step 2: Convert to fraction form
    209,961.80/314,942.70 = 130,063.40/x
  3. Step 3: Cross multiply
    209,961.80x = 314,942.70 × 130,063.40
  4. Step 4: Simplify right side
    209,961.80x = 40,962,518,367.18
  5. Step 5: Solve for x
    x = 40,962,518,367.18/209,961.80
  6. Step 6: Final answer
    x = 195,095.10

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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.