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Finding the Fourth Proportional to 208,589.09, 312,373.33 and 188,371.50

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Solution

The fourth proportional to 208,589.09, 312,373.33 and 188,371.50 is: 282,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,589.09 : 312,373.33 = 188,371.50 : x
  2. Step 2: Convert to fraction form
    208,589.09/312,373.33 = 188,371.50/x
  3. Step 3: Cross multiply
    208,589.09x = 312,373.33 × 188,371.50
  4. Step 4: Simplify right side
    208,589.09x = 58,842,232,526.07
  5. Step 5: Solve for x
    x = 58,842,232,526.07/208,589.09
  6. Step 6: Final answer
    x = 282,096.40

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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.