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Finding the Fourth Proportional to 237,829.32, 356,698.62 and 119,467.80

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Solution

The fourth proportional to 237,829.32, 356,698.62 and 119,467.80 is: 179,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,829.32 : 356,698.62 = 119,467.80 : x
  2. Step 2: Convert to fraction form
    237,829.32/356,698.62 = 119,467.80/x
  3. Step 3: Cross multiply
    237,829.32x = 356,698.62 × 119,467.80
  4. Step 4: Simplify right side
    237,829.32x = 42,613,999,394.44
  5. Step 5: Solve for x
    x = 42,613,999,394.44/237,829.32
  6. Step 6: Final answer
    x = 179,178.91

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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.