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Finding the Fourth Proportional to 203,575.32, 280,876.14 and 118,675.98

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Solution

The fourth proportional to 203,575.32, 280,876.14 and 118,675.98 is: 163,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,575.32 : 280,876.14 = 118,675.98 : x
  2. Step 2: Convert to fraction form
    203,575.32/280,876.14 = 118,675.98/x
  3. Step 3: Cross multiply
    203,575.32x = 280,876.14 × 118,675.98
  4. Step 4: Simplify right side
    203,575.32x = 33,333,251,173.12
  5. Step 5: Solve for x
    x = 33,333,251,173.12/203,575.32
  6. Step 6: Final answer
    x = 163,739.16

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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.