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Finding the Fourth Proportional to 159,852.96, 239,738.40 and 47,506.68

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Solution

The fourth proportional to 159,852.96, 239,738.40 and 47,506.68 is: 71,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,852.96 : 239,738.40 = 47,506.68 : x
  2. Step 2: Convert to fraction form
    159,852.96/239,738.40 = 47,506.68/x
  3. Step 3: Cross multiply
    159,852.96x = 239,738.40 × 47,506.68
  4. Step 4: Simplify right side
    159,852.96x = 11,389,175,452.51
  5. Step 5: Solve for x
    x = 11,389,175,452.51/159,852.96
  6. Step 6: Final answer
    x = 71,247.82

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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.