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Finding the Fourth Proportional to 105,705.19, 145,874.58 and 57,958.42

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Solution

The fourth proportional to 105,705.19, 145,874.58 and 57,958.42 is: 79,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,705.19 : 145,874.58 = 57,958.42 : x
  2. Step 2: Convert to fraction form
    105,705.19/145,874.58 = 57,958.42/x
  3. Step 3: Cross multiply
    105,705.19x = 145,874.58 × 57,958.42
  4. Step 4: Simplify right side
    105,705.19x = 8,454,660,174.96
  5. Step 5: Solve for x
    x = 8,454,660,174.96/105,705.19
  6. Step 6: Final answer
    x = 79,983.40

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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.