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Finding the Fourth Proportional to 105,147.66, 145,106.26 and 57,401.37

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Solution

The fourth proportional to 105,147.66, 145,106.26 and 57,401.37 is: 79,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.66 : 145,106.26 = 57,401.37 : x
  2. Step 2: Convert to fraction form
    105,147.66/145,106.26 = 57,401.37/x
  3. Step 3: Cross multiply
    105,147.66x = 145,106.26 × 57,401.37
  4. Step 4: Simplify right side
    105,147.66x = 8,329,297,976.07
  5. Step 5: Solve for x
    x = 8,329,297,976.07/105,147.66
  6. Step 6: Final answer
    x = 79,215.25

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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.