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Finding the Fourth Proportional to 130,467.51, 195,788.88 and 47,361.51

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Solution

The fourth proportional to 130,467.51, 195,788.88 and 47,361.51 is: 71,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467.51 : 195,788.88 = 47,361.51 : x
  2. Step 2: Convert to fraction form
    130,467.51/195,788.88 = 47,361.51/x
  3. Step 3: Cross multiply
    130,467.51x = 195,788.88 × 47,361.51
  4. Step 4: Simplify right side
    130,467.51x = 9,272,856,998.01
  5. Step 5: Solve for x
    x = 9,272,856,998.01/130,467.51
  6. Step 6: Final answer
    x = 71,074.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.