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Finding the Fourth Proportional to 259,794.52, 358,509.18 and 146,627.80

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Solution

The fourth proportional to 259,794.52, 358,509.18 and 146,627.80 is: 202,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,794.52 : 358,509.18 = 146,627.80 : x
  2. Step 2: Convert to fraction form
    259,794.52/358,509.18 = 146,627.80/x
  3. Step 3: Cross multiply
    259,794.52x = 358,509.18 × 146,627.80
  4. Step 4: Simplify right side
    259,794.52x = 52,567,412,343.20
  5. Step 5: Solve for x
    x = 52,567,412,343.20/259,794.52
  6. Step 6: Final answer
    x = 202,342.27

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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.