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Finding the Fourth Proportional to 227,830.40, 341,745.60 and 101,470.40

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Solution

The fourth proportional to 227,830.40, 341,745.60 and 101,470.40 is: 152,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,830.40 : 341,745.60 = 101,470.40 : x
  2. Step 2: Convert to fraction form
    227,830.40/341,745.60 = 101,470.40/x
  3. Step 3: Cross multiply
    227,830.40x = 341,745.60 × 101,470.40
  4. Step 4: Simplify right side
    227,830.40x = 34,677,062,730.24
  5. Step 5: Solve for x
    x = 34,677,062,730.24/227,830.40
  6. Step 6: Final answer
    x = 152,205.60

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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.