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Finding the Fourth Proportional to 172,477.46, 258,716.26 and 77,596.84

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Solution

The fourth proportional to 172,477.46, 258,716.26 and 77,596.84 is: 116,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477.46 : 258,716.26 = 77,596.84 : x
  2. Step 2: Convert to fraction form
    172,477.46/258,716.26 = 77,596.84/x
  3. Step 3: Cross multiply
    172,477.46x = 258,716.26 × 77,596.84
  4. Step 4: Simplify right side
    172,477.46x = 20,075,564,232.62
  5. Step 5: Solve for x
    x = 20,075,564,232.62/172,477.46
  6. Step 6: Final answer
    x = 116,395.29

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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.