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Finding the Fourth Proportional to 259,568.07, 358,203.90 and 146,390.82

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Solution

The fourth proportional to 259,568.07, 358,203.90 and 146,390.82 is: 202,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,568.07 : 358,203.90 = 146,390.82 : x
  2. Step 2: Convert to fraction form
    259,568.07/358,203.90 = 146,390.82/x
  3. Step 3: Cross multiply
    259,568.07x = 358,203.90 × 146,390.82
  4. Step 4: Simplify right side
    259,568.07x = 52,437,762,648.20
  5. Step 5: Solve for x
    x = 52,437,762,648.20/259,568.07
  6. Step 6: Final answer
    x = 202,019.31

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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.