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Finding the Fourth Proportional to 209,982.30, 314,973.45 and 201,234.30

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Solution

The fourth proportional to 209,982.30, 314,973.45 and 201,234.30 is: 301,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,982.30 : 314,973.45 = 201,234.30 : x
  2. Step 2: Convert to fraction form
    209,982.30/314,973.45 = 201,234.30/x
  3. Step 3: Cross multiply
    209,982.30x = 314,973.45 × 201,234.30
  4. Step 4: Simplify right side
    209,982.30x = 63,383,461,729.34
  5. Step 5: Solve for x
    x = 63,383,461,729.34/209,982.30
  6. Step 6: Final answer
    x = 301,851.45

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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.