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Finding the Fourth Proportional to 254,497.14, 381,164.13 and 121,470.77

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Solution

The fourth proportional to 254,497.14, 381,164.13 and 121,470.77 is: 181,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,497.14 : 381,164.13 = 121,470.77 : x
  2. Step 2: Convert to fraction form
    254,497.14/381,164.13 = 121,470.77/x
  3. Step 3: Cross multiply
    254,497.14x = 381,164.13 × 121,470.77
  4. Step 4: Simplify right side
    254,497.14x = 46,300,301,320.39
  5. Step 5: Solve for x
    x = 46,300,301,320.39/254,497.14
  6. Step 6: Final answer
    x = 181,928.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.