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Finding the Fourth Proportional to 214,039.44, 295,373.64 and 123,395

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Solution

The fourth proportional to 214,039.44, 295,373.64 and 123,395 is: 170,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,039.44 : 295,373.64 = 123,395 : x
  2. Step 2: Convert to fraction form
    214,039.44/295,373.64 = 123,395/x
  3. Step 3: Cross multiply
    214,039.44x = 295,373.64 × 123,395
  4. Step 4: Simplify right side
    214,039.44x = 36,447,630,307.80
  5. Step 5: Solve for x
    x = 36,447,630,307.80/214,039.44
  6. Step 6: Final answer
    x = 170,284.65

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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.