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Finding the Fourth Proportional to 235,321, 352,588.38 and 146,354.92

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Solution

The fourth proportional to 235,321, 352,588.38 and 146,354.92 is: 219,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,321 : 352,588.38 = 146,354.92 : x
  2. Step 2: Convert to fraction form
    235,321/352,588.38 = 146,354.92/x
  3. Step 3: Cross multiply
    235,321x = 352,588.38 × 146,354.92
  4. Step 4: Simplify right side
    235,321x = 51,603,044,147.83
  5. Step 5: Solve for x
    x = 51,603,044,147.83/235,321
  6. Step 6: Final answer
    x = 219,287.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.