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Finding the Fourth Proportional to 105,411.30, 145,467.42 and 57,664.65

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Solution

The fourth proportional to 105,411.30, 145,467.42 and 57,664.65 is: 79,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.30 : 145,467.42 = 57,664.65 : x
  2. Step 2: Convert to fraction form
    105,411.30/145,467.42 = 57,664.65/x
  3. Step 3: Cross multiply
    105,411.30x = 145,467.42 × 57,664.65
  4. Step 4: Simplify right side
    105,411.30x = 8,388,327,860.70
  5. Step 5: Solve for x
    x = 8,388,327,860.70/105,411.30
  6. Step 6: Final answer
    x = 79,577.12

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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.