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Finding the Fourth Proportional to 259,496.70, 358,114.31 and 150,592.64

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Solution

The fourth proportional to 259,496.70, 358,114.31 and 150,592.64 is: 207,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,496.70 : 358,114.31 = 150,592.64 : x
  2. Step 2: Convert to fraction form
    259,496.70/358,114.31 = 150,592.64/x
  3. Step 3: Cross multiply
    259,496.70x = 358,114.31 × 150,592.64
  4. Step 4: Simplify right side
    259,496.70x = 53,929,376,821.14
  5. Step 5: Solve for x
    x = 53,929,376,821.14/259,496.70
  6. Step 6: Final answer
    x = 207,822.98

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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.