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Finding the Fourth Proportional to 219,413.24, 329,119.94 and 53,201.24

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Solution

The fourth proportional to 219,413.24, 329,119.94 and 53,201.24 is: 79,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,413.24 : 329,119.94 = 53,201.24 : x
  2. Step 2: Convert to fraction form
    219,413.24/329,119.94 = 53,201.24/x
  3. Step 3: Cross multiply
    219,413.24x = 329,119.94 × 53,201.24
  4. Step 4: Simplify right side
    219,413.24x = 17,509,588,916.73
  5. Step 5: Solve for x
    x = 17,509,588,916.73/219,413.24
  6. Step 6: Final answer
    x = 79,801.88

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1.5x scale

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.