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Finding the Fourth Proportional to 105,145.80, 145,103.46 and 57,401.16

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Solution

The fourth proportional to 105,145.80, 145,103.46 and 57,401.16 is: 79,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,145.80 : 145,103.46 = 57,401.16 : x
  2. Step 2: Convert to fraction form
    105,145.80/145,103.46 = 57,401.16/x
  3. Step 3: Cross multiply
    105,145.80x = 145,103.46 × 57,401.16
  4. Step 4: Simplify right side
    105,145.80x = 8,329,106,924.01
  5. Step 5: Solve for x
    x = 8,329,106,924.01/105,145.80
  6. Step 6: Final answer
    x = 79,214.83

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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.