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Finding the Fourth Proportional to 204,688.95, 282,491.55 and 114,059.67

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Solution

The fourth proportional to 204,688.95, 282,491.55 and 114,059.67 is: 157,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,688.95 : 282,491.55 = 114,059.67 : x
  2. Step 2: Convert to fraction form
    204,688.95/282,491.55 = 114,059.67/x
  3. Step 3: Cross multiply
    204,688.95x = 282,491.55 × 114,059.67
  4. Step 4: Simplify right side
    204,688.95x = 32,220,892,970.79
  5. Step 5: Solve for x
    x = 32,220,892,970.79/204,688.95
  6. Step 6: Final answer
    x = 157,413.93

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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.