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Finding the Fourth Proportional to 259,177, 357,667.86 and 144,452.47

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Solution

The fourth proportional to 259,177, 357,667.86 and 144,452.47 is: 199,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,177 : 357,667.86 = 144,452.47 : x
  2. Step 2: Convert to fraction form
    259,177/357,667.86 = 144,452.47/x
  3. Step 3: Cross multiply
    259,177x = 357,667.86 × 144,452.47
  4. Step 4: Simplify right side
    259,177x = 51,666,005,816.61
  5. Step 5: Solve for x
    x = 51,666,005,816.61/259,177
  6. Step 6: Final answer
    x = 199,346.42

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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.