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Finding the Fourth Proportional to 209,816.57, 289,538.74 and 114,323.98

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Solution

The fourth proportional to 209,816.57, 289,538.74 and 114,323.98 is: 157,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,816.57 : 289,538.74 = 114,323.98 : x
  2. Step 2: Convert to fraction form
    209,816.57/289,538.74 = 114,323.98/x
  3. Step 3: Cross multiply
    209,816.57x = 289,538.74 × 114,323.98
  4. Step 4: Simplify right side
    209,816.57x = 33,101,221,120.99
  5. Step 5: Solve for x
    x = 33,101,221,120.99/209,816.57
  6. Step 6: Final answer
    x = 157,762.66

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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.