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Finding the Fourth Proportional to 259,473.78, 358,073.87 and 146,296.53

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Solution

The fourth proportional to 259,473.78, 358,073.87 and 146,296.53 is: 201,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,473.78 : 358,073.87 = 146,296.53 : x
  2. Step 2: Convert to fraction form
    259,473.78/358,073.87 = 146,296.53/x
  3. Step 3: Cross multiply
    259,473.78x = 358,073.87 × 146,296.53
  4. Step 4: Simplify right side
    259,473.78x = 52,384,963,933.19
  5. Step 5: Solve for x
    x = 52,384,963,933.19/259,473.78
  6. Step 6: Final answer
    x = 201,889.24

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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.