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Finding the Fourth Proportional to 209,808.12, 289,531.56 and 114,315.60

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Solution

The fourth proportional to 209,808.12, 289,531.56 and 114,315.60 is: 157,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,808.12 : 289,531.56 = 114,315.60 : x
  2. Step 2: Convert to fraction form
    209,808.12/289,531.56 = 114,315.60/x
  3. Step 3: Cross multiply
    209,808.12x = 289,531.56 × 114,315.60
  4. Step 4: Simplify right side
    209,808.12x = 33,097,974,000.34
  5. Step 5: Solve for x
    x = 33,097,974,000.34/209,808.12
  6. Step 6: Final answer
    x = 157,753.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.