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Finding the Fourth Proportional to 106,246.98, 159,261.12 and 47,110.50

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Solution

The fourth proportional to 106,246.98, 159,261.12 and 47,110.50 is: 70,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.98 : 159,261.12 = 47,110.50 : x
  2. Step 2: Convert to fraction form
    106,246.98/159,261.12 = 47,110.50/x
  3. Step 3: Cross multiply
    106,246.98x = 159,261.12 × 47,110.50
  4. Step 4: Simplify right side
    106,246.98x = 7,502,870,993.76
  5. Step 5: Solve for x
    x = 7,502,870,993.76/106,246.98
  6. Step 6: Final answer
    x = 70,617.26

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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.