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Finding the Fourth Proportional to 228,792.44, 342,984.54 and 116,409.80

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Solution

The fourth proportional to 228,792.44, 342,984.54 and 116,409.80 is: 174,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,792.44 : 342,984.54 = 116,409.80 : x
  2. Step 2: Convert to fraction form
    228,792.44/342,984.54 = 116,409.80/x
  3. Step 3: Cross multiply
    228,792.44x = 342,984.54 × 116,409.80
  4. Step 4: Simplify right side
    228,792.44x = 39,926,761,704.49
  5. Step 5: Solve for x
    x = 39,926,761,704.49/228,792.44
  6. Step 6: Final answer
    x = 174,510.84

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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.