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Finding the Fourth Proportional to 259,178.39, 357,667.85 and 144,464.32

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Solution

The fourth proportional to 259,178.39, 357,667.85 and 144,464.32 is: 199,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,178.39 : 357,667.85 = 144,464.32 : x
  2. Step 2: Convert to fraction form
    259,178.39/357,667.85 = 144,464.32/x
  3. Step 3: Cross multiply
    259,178.39x = 357,667.85 × 144,464.32
  4. Step 4: Simplify right side
    259,178.39x = 51,670,243,544.36
  5. Step 5: Solve for x
    x = 51,670,243,544.36/259,178.39
  6. Step 6: Final answer
    x = 199,361.70

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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.