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Finding the Fourth Proportional to 262,007.50, 361,570.38 and 142,775.50

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Solution

The fourth proportional to 262,007.50, 361,570.38 and 142,775.50 is: 197,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,007.50 : 361,570.38 = 142,775.50 : x
  2. Step 2: Convert to fraction form
    262,007.50/361,570.38 = 142,775.50/x
  3. Step 3: Cross multiply
    262,007.50x = 361,570.38 × 142,775.50
  4. Step 4: Simplify right side
    262,007.50x = 51,623,391,789.69
  5. Step 5: Solve for x
    x = 51,623,391,789.69/262,007.50
  6. Step 6: Final answer
    x = 197,030.21

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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.