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Finding the Fourth Proportional to 219,537.52, 302,964.12 and 118,939.12

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Solution

The fourth proportional to 219,537.52, 302,964.12 and 118,939.12 is: 164,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,537.52 : 302,964.12 = 118,939.12 : x
  2. Step 2: Convert to fraction form
    219,537.52/302,964.12 = 118,939.12/x
  3. Step 3: Cross multiply
    219,537.52x = 302,964.12 × 118,939.12
  4. Step 4: Simplify right side
    219,537.52x = 36,034,285,824.37
  5. Step 5: Solve for x
    x = 36,034,285,824.37/219,537.52
  6. Step 6: Final answer
    x = 164,137.25

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1.5x scale

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.