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Finding the Fourth Proportional to 262,007.46, 361,570.23 and 142,775.46

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Solution

The fourth proportional to 262,007.46, 361,570.23 and 142,775.46 is: 197,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,007.46 : 361,570.23 = 142,775.46 : x
  2. Step 2: Convert to fraction form
    262,007.46/361,570.23 = 142,775.46/x
  3. Step 3: Cross multiply
    262,007.46x = 361,570.23 × 142,775.46
  4. Step 4: Simplify right side
    262,007.46x = 51,623,355,910.56
  5. Step 5: Solve for x
    x = 51,623,355,910.56/262,007.46
  6. Step 6: Final answer
    x = 197,030.10

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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.