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Finding the Fourth Proportional to 105,840, 158,681.92 and 50,474.88

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Solution

The fourth proportional to 105,840, 158,681.92 and 50,474.88 is: 75,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840 : 158,681.92 = 50,474.88 : x
  2. Step 2: Convert to fraction form
    105,840/158,681.92 = 50,474.88/x
  3. Step 3: Cross multiply
    105,840x = 158,681.92 × 50,474.88
  4. Step 4: Simplify right side
    105,840x = 8,009,450,870.17
  5. Step 5: Solve for x
    x = 8,009,450,870.17/105,840
  6. Step 6: Final answer
    x = 75,675.08

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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.