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Finding the Fourth Proportional to 209,266.10, 313,899.15 and 209,266.10

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Solution

The fourth proportional to 209,266.10, 313,899.15 and 209,266.10 is: 313,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,266.10 : 313,899.15 = 209,266.10 : x
  2. Step 2: Convert to fraction form
    209,266.10/313,899.15 = 209,266.10/x
  3. Step 3: Cross multiply
    209,266.10x = 313,899.15 × 209,266.10
  4. Step 4: Simplify right side
    209,266.10x = 65,688,450,913.82
  5. Step 5: Solve for x
    x = 65,688,450,913.82/209,266.10
  6. Step 6: Final answer
    x = 313,899.15

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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.