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Finding the Fourth Proportional to 128,413.81, 177,201.43 and 71,814.25

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Solution

The fourth proportional to 128,413.81, 177,201.43 and 71,814.25 is: 99,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.81 : 177,201.43 = 71,814.25 : x
  2. Step 2: Convert to fraction form
    128,413.81/177,201.43 = 71,814.25/x
  3. Step 3: Cross multiply
    128,413.81x = 177,201.43 × 71,814.25
  4. Step 4: Simplify right side
    128,413.81x = 12,725,587,794.38
  5. Step 5: Solve for x
    x = 12,725,587,794.38/128,413.81
  6. Step 6: Final answer
    x = 99,098.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.