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Finding the Fourth Proportional to 203,525.69, 280,541.04 and 160,434.96

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Solution

The fourth proportional to 203,525.69, 280,541.04 and 160,434.96 is: 221,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,525.69 : 280,541.04 = 160,434.96 : x
  2. Step 2: Convert to fraction form
    203,525.69/280,541.04 = 160,434.96/x
  3. Step 3: Cross multiply
    203,525.69x = 280,541.04 × 160,434.96
  4. Step 4: Simplify right side
    203,525.69x = 45,008,590,530.76
  5. Step 5: Solve for x
    x = 45,008,590,530.76/203,525.69
  6. Step 6: Final answer
    x = 221,144.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.