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Finding the Fourth Proportional to 105,860.50, 158,832.15 and 46,654.54

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Solution

The fourth proportional to 105,860.50, 158,832.15 and 46,654.54 is: 70,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,860.50 : 158,832.15 = 46,654.54 : x
  2. Step 2: Convert to fraction form
    105,860.50/158,832.15 = 46,654.54/x
  3. Step 3: Cross multiply
    105,860.50x = 158,832.15 × 46,654.54
  4. Step 4: Simplify right side
    105,860.50x = 7,410,240,895.46
  5. Step 5: Solve for x
    x = 7,410,240,895.46/105,860.50
  6. Step 6: Final answer
    x = 70,000.06

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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.