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Finding the Fourth Proportional to 259,408.88, 357,989.72 and 146,231.63

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Solution

The fourth proportional to 259,408.88, 357,989.72 and 146,231.63 is: 201,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,408.88 : 357,989.72 = 146,231.63 : x
  2. Step 2: Convert to fraction form
    259,408.88/357,989.72 = 146,231.63/x
  3. Step 3: Cross multiply
    259,408.88x = 357,989.72 × 146,231.63
  4. Step 4: Simplify right side
    259,408.88x = 52,349,417,757.74
  5. Step 5: Solve for x
    x = 52,349,417,757.74/259,408.88
  6. Step 6: Final answer
    x = 201,802.72

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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.