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Finding the Fourth Proportional to 114,715.20, 171,727.20 and 102,273.60

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Solution

The fourth proportional to 114,715.20, 171,727.20 and 102,273.60 is: 153,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,715.20 : 171,727.20 = 102,273.60 : x
  2. Step 2: Convert to fraction form
    114,715.20/171,727.20 = 102,273.60/x
  3. Step 3: Cross multiply
    114,715.20x = 171,727.20 × 102,273.60
  4. Step 4: Simplify right side
    114,715.20x = 17,563,158,961.92
  5. Step 5: Solve for x
    x = 17,563,158,961.92/114,715.20
  6. Step 6: Final answer
    x = 153,102.28

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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.