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Finding the Fourth Proportional to 105,830.35, 158,794.12 and 45,877.12

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Solution

The fourth proportional to 105,830.35, 158,794.12 and 45,877.12 is: 68,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,830.35 : 158,794.12 = 45,877.12 : x
  2. Step 2: Convert to fraction form
    105,830.35/158,794.12 = 45,877.12/x
  3. Step 3: Cross multiply
    105,830.35x = 158,794.12 × 45,877.12
  4. Step 4: Simplify right side
    105,830.35x = 7,285,016,558.90
  5. Step 5: Solve for x
    x = 7,285,016,558.90/105,830.35
  6. Step 6: Final answer
    x = 68,836.74

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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.