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Finding the Fourth Proportional to 259,632.30, 358,295.31 and 144,921.90

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Solution

The fourth proportional to 259,632.30, 358,295.31 and 144,921.90 is: 199,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632.30 : 358,295.31 = 144,921.90 : x
  2. Step 2: Convert to fraction form
    259,632.30/358,295.31 = 144,921.90/x
  3. Step 3: Cross multiply
    259,632.30x = 358,295.31 × 144,921.90
  4. Step 4: Simplify right side
    259,632.30x = 51,924,837,086.29
  5. Step 5: Solve for x
    x = 51,924,837,086.29/259,632.30
  6. Step 6: Final answer
    x = 199,993.75

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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.