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Finding the Fourth Proportional to 114,138.20, 171,412.10 and 83,008.60

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Solution

The fourth proportional to 114,138.20, 171,412.10 and 83,008.60 is: 124,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138.20 : 171,412.10 = 83,008.60 : x
  2. Step 2: Convert to fraction form
    114,138.20/171,412.10 = 83,008.60/x
  3. Step 3: Cross multiply
    114,138.20x = 171,412.10 × 83,008.60
  4. Step 4: Simplify right side
    114,138.20x = 14,228,678,444.06
  5. Step 5: Solve for x
    x = 14,228,678,444.06/114,138.20
  6. Step 6: Final answer
    x = 124,661.84

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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.