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Finding the Fourth Proportional to 259,901.44, 358,661.16 and 146,728.96

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Solution

The fourth proportional to 259,901.44, 358,661.16 and 146,728.96 is: 202,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,901.44 : 358,661.16 = 146,728.96 : x
  2. Step 2: Convert to fraction form
    259,901.44/358,661.16 = 146,728.96/x
  3. Step 3: Cross multiply
    259,901.44x = 358,661.16 × 146,728.96
  4. Step 4: Simplify right side
    259,901.44x = 52,625,978,999.19
  5. Step 5: Solve for x
    x = 52,625,978,999.19/259,901.44
  6. Step 6: Final answer
    x = 202,484.37

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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.