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Finding the Fourth Proportional to 157,449.51, 236,174.52 and 47,905.41

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Solution

The fourth proportional to 157,449.51, 236,174.52 and 47,905.41 is: 71,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,449.51 : 236,174.52 = 47,905.41 : x
  2. Step 2: Convert to fraction form
    157,449.51/236,174.52 = 47,905.41/x
  3. Step 3: Cross multiply
    157,449.51x = 236,174.52 × 47,905.41
  4. Step 4: Simplify right side
    157,449.51x = 11,314,037,212.15
  5. Step 5: Solve for x
    x = 11,314,037,212.15/157,449.51
  6. Step 6: Final answer
    x = 71,858.19

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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.