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Finding the Fourth Proportional to 228,744.04, 343,050.46 and 78,945.48

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Solution

The fourth proportional to 228,744.04, 343,050.46 and 78,945.48 is: 118,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,744.04 : 343,050.46 = 78,945.48 : x
  2. Step 2: Convert to fraction form
    228,744.04/343,050.46 = 78,945.48/x
  3. Step 3: Cross multiply
    228,744.04x = 343,050.46 × 78,945.48
  4. Step 4: Simplify right side
    228,744.04x = 27,082,283,228.92
  5. Step 5: Solve for x
    x = 27,082,283,228.92/228,744.04
  6. Step 6: Final answer
    x = 118,395.58

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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.