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Finding the Fourth Proportional to 259,433.40, 357,976.92 and 146,234.28

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Solution

The fourth proportional to 259,433.40, 357,976.92 and 146,234.28 is: 201,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,433.40 : 357,976.92 = 146,234.28 : x
  2. Step 2: Convert to fraction form
    259,433.40/357,976.92 = 146,234.28/x
  3. Step 3: Cross multiply
    259,433.40x = 357,976.92 × 146,234.28
  4. Step 4: Simplify right side
    259,433.40x = 52,348,497,152.82
  5. Step 5: Solve for x
    x = 52,348,497,152.82/259,433.40
  6. Step 6: Final answer
    x = 201,780.10

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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.