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Finding the Fourth Proportional to 214,443.60, 295,926.45 and 123,796.50

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Solution

The fourth proportional to 214,443.60, 295,926.45 and 123,796.50 is: 170,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,443.60 : 295,926.45 = 123,796.50 : x
  2. Step 2: Convert to fraction form
    214,443.60/295,926.45 = 123,796.50/x
  3. Step 3: Cross multiply
    214,443.60x = 295,926.45 × 123,796.50
  4. Step 4: Simplify right side
    214,443.60x = 36,634,658,767.43
  5. Step 5: Solve for x
    x = 36,634,658,767.43/214,443.60
  6. Step 6: Final answer
    x = 170,835.87

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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.