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Finding the Fourth Proportional to 214,130.20, 295,486.80 and 118,629.98

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Solution

The fourth proportional to 214,130.20, 295,486.80 and 118,629.98 is: 163,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,130.20 : 295,486.80 = 118,629.98 : x
  2. Step 2: Convert to fraction form
    214,130.20/295,486.80 = 118,629.98/x
  3. Step 3: Cross multiply
    214,130.20x = 295,486.80 × 118,629.98
  4. Step 4: Simplify right side
    214,130.20x = 35,053,593,174.26
  5. Step 5: Solve for x
    x = 35,053,593,174.26/214,130.20
  6. Step 6: Final answer
    x = 163,702.24

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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.