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Finding the Fourth Proportional to 214,451.10, 295,978.01 and 118,988.55

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Solution

The fourth proportional to 214,451.10, 295,978.01 and 118,988.55 is: 164,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,451.10 : 295,978.01 = 118,988.55 : x
  2. Step 2: Convert to fraction form
    214,451.10/295,978.01 = 118,988.55/x
  3. Step 3: Cross multiply
    214,451.10x = 295,978.01 × 118,988.55
  4. Step 4: Simplify right side
    214,451.10x = 35,217,993,646.84
  5. Step 5: Solve for x
    x = 35,217,993,646.84/214,451.10
  6. Step 6: Final answer
    x = 164,223.89

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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.