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Finding the Fourth Proportional to 257,635.30, 355,579.25 and 142,950.85

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Solution

The fourth proportional to 257,635.30, 355,579.25 and 142,950.85 is: 197,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,635.30 : 355,579.25 = 142,950.85 : x
  2. Step 2: Convert to fraction form
    257,635.30/355,579.25 = 142,950.85/x
  3. Step 3: Cross multiply
    257,635.30x = 355,579.25 × 142,950.85
  4. Step 4: Simplify right side
    257,635.30x = 50,830,356,029.86
  5. Step 5: Solve for x
    x = 50,830,356,029.86/257,635.30
  6. Step 6: Final answer
    x = 197,295.77

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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.