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Finding the Fourth Proportional to 259,513.53, 358,128.74 and 146,336.31

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Solution

The fourth proportional to 259,513.53, 358,128.74 and 146,336.31 is: 201,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,513.53 : 358,128.74 = 146,336.31 : x
  2. Step 2: Convert to fraction form
    259,513.53/358,128.74 = 146,336.31/x
  3. Step 3: Cross multiply
    259,513.53x = 358,128.74 × 146,336.31
  4. Step 4: Simplify right side
    259,513.53x = 52,407,237,584.87
  5. Step 5: Solve for x
    x = 52,407,237,584.87/259,513.53
  6. Step 6: Final answer
    x = 201,944.14

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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.