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Finding the Fourth Proportional to 219,257.32, 302,576 and 118,655.32

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Solution

The fourth proportional to 219,257.32, 302,576 and 118,655.32 is: 163,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,257.32 : 302,576 = 118,655.32 : x
  2. Step 2: Convert to fraction form
    219,257.32/302,576 = 118,655.32/x
  3. Step 3: Cross multiply
    219,257.32x = 302,576 × 118,655.32
  4. Step 4: Simplify right side
    219,257.32x = 35,902,252,104.32
  5. Step 5: Solve for x
    x = 35,902,252,104.32/219,257.32
  6. Step 6: Final answer
    x = 163,744.83

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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.