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Finding the Fourth Proportional to 107,394.16, 148,135.86 and 65,983.02

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Solution

The fourth proportional to 107,394.16, 148,135.86 and 65,983.02 is: 91,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,394.16 : 148,135.86 = 65,983.02 : x
  2. Step 2: Convert to fraction form
    107,394.16/148,135.86 = 65,983.02/x
  3. Step 3: Cross multiply
    107,394.16x = 148,135.86 × 65,983.02
  4. Step 4: Simplify right side
    107,394.16x = 9,774,451,413.10
  5. Step 5: Solve for x
    x = 9,774,451,413.10/107,394.16
  6. Step 6: Final answer
    x = 91,014.74

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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.