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Finding the Fourth Proportional to 259,519.88, 358,105.38 and 152,065.28

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Solution

The fourth proportional to 259,519.88, 358,105.38 and 152,065.28 is: 209,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,519.88 : 358,105.38 = 152,065.28 : x
  2. Step 2: Convert to fraction form
    259,519.88/358,105.38 = 152,065.28/x
  3. Step 3: Cross multiply
    259,519.88x = 358,105.38 × 152,065.28
  4. Step 4: Simplify right side
    259,519.88x = 54,455,394,879.21
  5. Step 5: Solve for x
    x = 54,455,394,879.21/259,519.88
  6. Step 6: Final answer
    x = 209,831.30

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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.