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Finding the Fourth Proportional to 214,363.80, 295,816.86 and 118,871.28

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Solution

The fourth proportional to 214,363.80, 295,816.86 and 118,871.28 is: 164,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,363.80 : 295,816.86 = 118,871.28 : x
  2. Step 2: Convert to fraction form
    214,363.80/295,816.86 = 118,871.28/x
  3. Step 3: Cross multiply
    214,363.80x = 295,816.86 × 118,871.28
  4. Step 4: Simplify right side
    214,363.80x = 35,164,128,793.78
  5. Step 5: Solve for x
    x = 35,164,128,793.78/214,363.80
  6. Step 6: Final answer
    x = 164,039.49

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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.