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Finding the Fourth Proportional to 255,901.86, 353,145.18 and 142,731.90

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Solution

The fourth proportional to 255,901.86, 353,145.18 and 142,731.90 is: 196,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.86 : 353,145.18 = 142,731.90 : x
  2. Step 2: Convert to fraction form
    255,901.86/353,145.18 = 142,731.90/x
  3. Step 3: Cross multiply
    255,901.86x = 353,145.18 × 142,731.90
  4. Step 4: Simplify right side
    255,901.86x = 50,405,082,517.24
  5. Step 5: Solve for x
    x = 50,405,082,517.24/255,901.86
  6. Step 6: Final answer
    x = 196,970.36

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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.