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Finding the Fourth Proportional to 259,012.89, 357,432.41 and 144,291.38

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Solution

The fourth proportional to 259,012.89, 357,432.41 and 144,291.38 is: 199,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,012.89 : 357,432.41 = 144,291.38 : x
  2. Step 2: Convert to fraction form
    259,012.89/357,432.41 = 144,291.38/x
  3. Step 3: Cross multiply
    259,012.89x = 357,432.41 × 144,291.38
  4. Step 4: Simplify right side
    259,012.89x = 51,574,415,695.63
  5. Step 5: Solve for x
    x = 51,574,415,695.63/259,012.89
  6. Step 6: Final answer
    x = 199,119.11

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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.