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Finding the Fourth Proportional to 209,917.80, 314,876.70 and 130,019.40

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Solution

The fourth proportional to 209,917.80, 314,876.70 and 130,019.40 is: 195,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917.80 : 314,876.70 = 130,019.40 : x
  2. Step 2: Convert to fraction form
    209,917.80/314,876.70 = 130,019.40/x
  3. Step 3: Cross multiply
    209,917.80x = 314,876.70 × 130,019.40
  4. Step 4: Simplify right side
    209,917.80x = 40,940,079,607.98
  5. Step 5: Solve for x
    x = 40,940,079,607.98/209,917.80
  6. Step 6: Final answer
    x = 195,029.10

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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.