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Finding the Fourth Proportional to 259,453.24, 358,062.24 and 146,283.28

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Solution

The fourth proportional to 259,453.24, 358,062.24 and 146,283.28 is: 201,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,453.24 : 358,062.24 = 146,283.28 : x
  2. Step 2: Convert to fraction form
    259,453.24/358,062.24 = 146,283.28/x
  3. Step 3: Cross multiply
    259,453.24x = 358,062.24 × 146,283.28
  4. Step 4: Simplify right side
    259,453.24x = 52,378,518,911.35
  5. Step 5: Solve for x
    x = 52,378,518,911.35/259,453.24
  6. Step 6: Final answer
    x = 201,880.38

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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.