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Finding the Fourth Proportional to 228,212.40, 342,318.60 and 101,852.40

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Solution

The fourth proportional to 228,212.40, 342,318.60 and 101,852.40 is: 152,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,212.40 : 342,318.60 = 101,852.40 : x
  2. Step 2: Convert to fraction form
    228,212.40/342,318.60 = 101,852.40/x
  3. Step 3: Cross multiply
    228,212.40x = 342,318.60 × 101,852.40
  4. Step 4: Simplify right side
    228,212.40x = 34,865,970,974.64
  5. Step 5: Solve for x
    x = 34,865,970,974.64/228,212.40
  6. Step 6: Final answer
    x = 152,778.60

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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.