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Finding the Fourth Proportional to 254,854.14, 351,707.74 and 140,141.54

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Solution

The fourth proportional to 254,854.14, 351,707.74 and 140,141.54 is: 193,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,854.14 : 351,707.74 = 140,141.54 : x
  2. Step 2: Convert to fraction form
    254,854.14/351,707.74 = 140,141.54/x
  3. Step 3: Cross multiply
    254,854.14x = 351,707.74 × 140,141.54
  4. Step 4: Simplify right side
    254,854.14x = 49,288,864,313.52
  5. Step 5: Solve for x
    x = 49,288,864,313.52/254,854.14
  6. Step 6: Final answer
    x = 193,400.29

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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.