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Finding the Fourth Proportional to 106,413.32, 146,851.39 and 58,668.38

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Solution

The fourth proportional to 106,413.32, 146,851.39 and 58,668.38 is: 80,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,413.32 : 146,851.39 = 58,668.38 : x
  2. Step 2: Convert to fraction form
    106,413.32/146,851.39 = 58,668.38/x
  3. Step 3: Cross multiply
    106,413.32x = 146,851.39 × 58,668.38
  4. Step 4: Simplify right side
    106,413.32x = 8,615,532,271.12
  5. Step 5: Solve for x
    x = 8,615,532,271.12/106,413.32
  6. Step 6: Final answer
    x = 80,962.91

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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.