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Finding the Fourth Proportional to 268,324, 370,295.76 and 149,092

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Solution

The fourth proportional to 268,324, 370,295.76 and 149,092 is: 205,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,324 : 370,295.76 = 149,092 : x
  2. Step 2: Convert to fraction form
    268,324/370,295.76 = 149,092/x
  3. Step 3: Cross multiply
    268,324x = 370,295.76 × 149,092
  4. Step 4: Simplify right side
    268,324x = 55,208,135,449.92
  5. Step 5: Solve for x
    x = 55,208,135,449.92/268,324
  6. Step 6: Final answer
    x = 205,751.76

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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.