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Finding the Fourth Proportional to 214,909.59, 296,562.20 and 119,413.02

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Solution

The fourth proportional to 214,909.59, 296,562.20 and 119,413.02 is: 164,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,909.59 : 296,562.20 = 119,413.02 : x
  2. Step 2: Convert to fraction form
    214,909.59/296,562.20 = 119,413.02/x
  3. Step 3: Cross multiply
    214,909.59x = 296,562.20 × 119,413.02
  4. Step 4: Simplify right side
    214,909.59x = 35,413,387,919.84
  5. Step 5: Solve for x
    x = 35,413,387,919.84/214,909.59
  6. Step 6: Final answer
    x = 164,782.73

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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.