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Finding the Fourth Proportional to 235,767.20, 353,650.80 and 142,455.20

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Solution

The fourth proportional to 235,767.20, 353,650.80 and 142,455.20 is: 213,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,767.20 : 353,650.80 = 142,455.20 : x
  2. Step 2: Convert to fraction form
    235,767.20/353,650.80 = 142,455.20/x
  3. Step 3: Cross multiply
    235,767.20x = 353,650.80 × 142,455.20
  4. Step 4: Simplify right side
    235,767.20x = 50,379,395,444.16
  5. Step 5: Solve for x
    x = 50,379,395,444.16/235,767.20
  6. Step 6: Final answer
    x = 213,682.80

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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.