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Finding the Fourth Proportional to 258,716.69, 388,075.14 and 116,395.76

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Solution

The fourth proportional to 258,716.69, 388,075.14 and 116,395.76 is: 174,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,716.69 : 388,075.14 = 116,395.76 : x
  2. Step 2: Convert to fraction form
    258,716.69/388,075.14 = 116,395.76/x
  3. Step 3: Cross multiply
    258,716.69x = 388,075.14 × 116,395.76
  4. Step 4: Simplify right side
    258,716.69x = 45,170,300,857.41
  5. Step 5: Solve for x
    x = 45,170,300,857.41/258,716.69
  6. Step 6: Final answer
    x = 174,593.69

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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.