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Finding the Fourth Proportional to 259,453.27, 358,051.86 and 144,731.08

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Solution

The fourth proportional to 259,453.27, 358,051.86 and 144,731.08 is: 199,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,453.27 : 358,051.86 = 144,731.08 : x
  2. Step 2: Convert to fraction form
    259,453.27/358,051.86 = 144,731.08/x
  3. Step 3: Cross multiply
    259,453.27x = 358,051.86 × 144,731.08
  4. Step 4: Simplify right side
    259,453.27x = 51,821,232,393.81
  5. Step 5: Solve for x
    x = 51,821,232,393.81/259,453.27
  6. Step 6: Final answer
    x = 199,732.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.