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Finding the Fourth Proportional to 214,390.80, 295,877.48 and 118,928.25

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Solution

The fourth proportional to 214,390.80, 295,877.48 and 118,928.25 is: 164,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,390.80 : 295,877.48 = 118,928.25 : x
  2. Step 2: Convert to fraction form
    214,390.80/295,877.48 = 118,928.25/x
  3. Step 3: Cross multiply
    214,390.80x = 295,877.48 × 118,928.25
  4. Step 4: Simplify right side
    214,390.80x = 35,188,190,316.17
  5. Step 5: Solve for x
    x = 35,188,190,316.17/214,390.80
  6. Step 6: Final answer
    x = 164,131.06

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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.