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Finding the Fourth Proportional to 214,444.80, 295,889.52 and 123,799.20

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Solution

The fourth proportional to 214,444.80, 295,889.52 and 123,799.20 is: 170,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,444.80 : 295,889.52 = 123,799.20 : x
  2. Step 2: Convert to fraction form
    214,444.80/295,889.52 = 123,799.20/x
  3. Step 3: Cross multiply
    214,444.80x = 295,889.52 × 123,799.20
  4. Step 4: Simplify right side
    214,444.80x = 36,630,885,864.38
  5. Step 5: Solve for x
    x = 36,630,885,864.38/214,444.80
  6. Step 6: Final answer
    x = 170,817.32

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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.