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Finding the Fourth Proportional to 214,792.24, 296,413.56 and 119,296.48

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Solution

The fourth proportional to 214,792.24, 296,413.56 and 119,296.48 is: 164,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,792.24 : 296,413.56 = 119,296.48 : x
  2. Step 2: Convert to fraction form
    214,792.24/296,413.56 = 119,296.48/x
  3. Step 3: Cross multiply
    214,792.24x = 296,413.56 × 119,296.48
  4. Step 4: Simplify right side
    214,792.24x = 35,361,094,332.27
  5. Step 5: Solve for x
    x = 35,361,094,332.27/214,792.24
  6. Step 6: Final answer
    x = 164,629.29

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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.