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Finding the Fourth Proportional to 106,290.48, 159,326.34 and 47,154

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Solution

The fourth proportional to 106,290.48, 159,326.34 and 47,154 is: 70,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,290.48 : 159,326.34 = 47,154 : x
  2. Step 2: Convert to fraction form
    106,290.48/159,326.34 = 47,154/x
  3. Step 3: Cross multiply
    106,290.48x = 159,326.34 × 47,154
  4. Step 4: Simplify right side
    106,290.48x = 7,512,874,236.36
  5. Step 5: Solve for x
    x = 7,512,874,236.36/106,290.48
  6. Step 6: Final answer
    x = 70,682.48

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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.