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Finding the Fourth Proportional to 113,808.54, 157,114.81 and 83,147.21

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Solution

The fourth proportional to 113,808.54, 157,114.81 and 83,147.21 is: 114,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,808.54 : 157,114.81 = 83,147.21 : x
  2. Step 2: Convert to fraction form
    113,808.54/157,114.81 = 83,147.21/x
  3. Step 3: Cross multiply
    113,808.54x = 157,114.81 × 83,147.21
  4. Step 4: Simplify right side
    113,808.54x = 13,063,658,008.72
  5. Step 5: Solve for x
    x = 13,063,658,008.72/113,808.54
  6. Step 6: Final answer
    x = 114,786.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.