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Finding the Fourth Proportional to 214,461.38, 295,966.42 and 118,968.14

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Solution

The fourth proportional to 214,461.38, 295,966.42 and 118,968.14 is: 164,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.38 : 295,966.42 = 118,968.14 : x
  2. Step 2: Convert to fraction form
    214,461.38/295,966.42 = 118,968.14/x
  3. Step 3: Cross multiply
    214,461.38x = 295,966.42 × 118,968.14
  4. Step 4: Simplify right side
    214,461.38x = 35,210,574,489.86
  5. Step 5: Solve for x
    x = 35,210,574,489.86/214,461.38
  6. Step 6: Final answer
    x = 164,181.42

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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.