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Finding the Fourth Proportional to 214,383.76, 295,830.06 and 118,890.16

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Solution

The fourth proportional to 214,383.76, 295,830.06 and 118,890.16 is: 164,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,383.76 : 295,830.06 = 118,890.16 : x
  2. Step 2: Convert to fraction form
    214,383.76/295,830.06 = 118,890.16/x
  3. Step 3: Cross multiply
    214,383.76x = 295,830.06 × 118,890.16
  4. Step 4: Simplify right side
    214,383.76x = 35,171,283,166.21
  5. Step 5: Solve for x
    x = 35,171,283,166.21/214,383.76
  6. Step 6: Final answer
    x = 164,057.59

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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.