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Finding the Fourth Proportional to 114,109.20, 171,021.24 and 78,767.28

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Solution

The fourth proportional to 114,109.20, 171,021.24 and 78,767.28 is: 118,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.20 : 171,021.24 = 78,767.28 : x
  2. Step 2: Convert to fraction form
    114,109.20/171,021.24 = 78,767.28/x
  3. Step 3: Cross multiply
    114,109.20x = 171,021.24 × 78,767.28
  4. Step 4: Simplify right side
    114,109.20x = 13,470,877,897.03
  5. Step 5: Solve for x
    x = 13,470,877,897.03/114,109.20
  6. Step 6: Final answer
    x = 118,052.51

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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.