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Finding the Fourth Proportional to 228,571.20, 342,905.76 and 116,267.04

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Solution

The fourth proportional to 228,571.20, 342,905.76 and 116,267.04 is: 174,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,571.20 : 342,905.76 = 116,267.04 : x
  2. Step 2: Convert to fraction form
    228,571.20/342,905.76 = 116,267.04/x
  3. Step 3: Cross multiply
    228,571.20x = 342,905.76 × 116,267.04
  4. Step 4: Simplify right side
    228,571.20x = 39,868,637,714.15
  5. Step 5: Solve for x
    x = 39,868,637,714.15/228,571.20
  6. Step 6: Final answer
    x = 174,425.46

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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.