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Finding the Fourth Proportional to 214,261.36, 295,649.60 and 118,768

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Solution

The fourth proportional to 214,261.36, 295,649.60 and 118,768 is: 163,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,261.36 : 295,649.60 = 118,768 : x
  2. Step 2: Convert to fraction form
    214,261.36/295,649.60 = 118,768/x
  3. Step 3: Cross multiply
    214,261.36x = 295,649.60 × 118,768
  4. Step 4: Simplify right side
    214,261.36x = 35,113,711,692.80
  5. Step 5: Solve for x
    x = 35,113,711,692.80/214,261.36
  6. Step 6: Final answer
    x = 163,882.61

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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.