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Finding the Fourth Proportional to 212,229.98, 317,971.27 and 199,587.50

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Solution

The fourth proportional to 212,229.98, 317,971.27 and 199,587.50 is: 299,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,229.98 : 317,971.27 = 199,587.50 : x
  2. Step 2: Convert to fraction form
    212,229.98/317,971.27 = 199,587.50/x
  3. Step 3: Cross multiply
    212,229.98x = 317,971.27 × 199,587.50
  4. Step 4: Simplify right side
    212,229.98x = 63,463,090,851.13
  5. Step 5: Solve for x
    x = 63,463,090,851.13/212,229.98
  6. Step 6: Final answer
    x = 299,029.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.