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Finding the Fourth Proportional to 203,516.19, 280,594.23 and 145,442.28

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Solution

The fourth proportional to 203,516.19, 280,594.23 and 145,442.28 is: 200,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,516.19 : 280,594.23 = 145,442.28 : x
  2. Step 2: Convert to fraction form
    203,516.19/280,594.23 = 145,442.28/x
  3. Step 3: Cross multiply
    203,516.19x = 280,594.23 × 145,442.28
  4. Step 4: Simplify right side
    203,516.19x = 40,810,264,566.04
  5. Step 5: Solve for x
    x = 40,810,264,566.04/203,516.19
  6. Step 6: Final answer
    x = 200,525.89

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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.