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Finding the Fourth Proportional to 116,413.40, 174,360.90 and 100,861.40

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Solution

The fourth proportional to 116,413.40, 174,360.90 and 100,861.40 is: 151,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,413.40 : 174,360.90 = 100,861.40 : x
  2. Step 2: Convert to fraction form
    116,413.40/174,360.90 = 100,861.40/x
  3. Step 3: Cross multiply
    116,413.40x = 174,360.90 × 100,861.40
  4. Step 4: Simplify right side
    116,413.40x = 17,586,284,479.26
  5. Step 5: Solve for x
    x = 17,586,284,479.26/116,413.40
  6. Step 6: Final answer
    x = 151,067.53

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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.