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Finding the Fourth Proportional to 259,842.75, 358,583.02 and 146,672.79

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Solution

The fourth proportional to 259,842.75, 358,583.02 and 146,672.79 is: 202,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,842.75 : 358,583.02 = 146,672.79 : x
  2. Step 2: Convert to fraction form
    259,842.75/358,583.02 = 146,672.79/x
  3. Step 3: Cross multiply
    259,842.75x = 358,583.02 × 146,672.79
  4. Step 4: Simplify right side
    259,842.75x = 52,594,371,623.34
  5. Step 5: Solve for x
    x = 52,594,371,623.34/259,842.75
  6. Step 6: Final answer
    x = 202,408.46

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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.