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Finding the Fourth Proportional to 209,811.87, 289,542.51 and 114,320.16

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Solution

The fourth proportional to 209,811.87, 289,542.51 and 114,320.16 is: 157,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,811.87 : 289,542.51 = 114,320.16 : x
  2. Step 2: Convert to fraction form
    209,811.87/289,542.51 = 114,320.16/x
  3. Step 3: Cross multiply
    209,811.87x = 289,542.51 × 114,320.16
  4. Step 4: Simplify right side
    209,811.87x = 33,100,546,070.00
  5. Step 5: Solve for x
    x = 33,100,546,070.00/209,811.87
  6. Step 6: Final answer
    x = 157,762.98

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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.