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Finding the Fourth Proportional to 219,412.56, 329,131.56 and 61,653.24

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Solution

The fourth proportional to 219,412.56, 329,131.56 and 61,653.24 is: 92,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,412.56 : 329,131.56 = 61,653.24 : x
  2. Step 2: Convert to fraction form
    219,412.56/329,131.56 = 61,653.24/x
  3. Step 3: Cross multiply
    219,412.56x = 329,131.56 × 61,653.24
  4. Step 4: Simplify right side
    219,412.56x = 20,292,027,060.25
  5. Step 5: Solve for x
    x = 20,292,027,060.25/219,412.56
  6. Step 6: Final answer
    x = 92,483.43

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1.5x scale

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.