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Finding the Fourth Proportional to 257,356.98, 355,174.20 and 142,663.68

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Solution

The fourth proportional to 257,356.98, 355,174.20 and 142,663.68 is: 196,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,356.98 : 355,174.20 = 142,663.68 : x
  2. Step 2: Convert to fraction form
    257,356.98/355,174.20 = 142,663.68/x
  3. Step 3: Cross multiply
    257,356.98x = 355,174.20 × 142,663.68
  4. Step 4: Simplify right side
    257,356.98x = 50,670,458,413.06
  5. Step 5: Solve for x
    x = 50,670,458,413.06/257,356.98
  6. Step 6: Final answer
    x = 196,887.83

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1.5x scale

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.