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Finding the Fourth Proportional to 219,519.64, 329,129.63 and 116,952.31

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Solution

The fourth proportional to 219,519.64, 329,129.63 and 116,952.31 is: 175,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,519.64 : 329,129.63 = 116,952.31 : x
  2. Step 2: Convert to fraction form
    219,519.64/329,129.63 = 116,952.31/x
  3. Step 3: Cross multiply
    219,519.64x = 329,129.63 × 116,952.31
  4. Step 4: Simplify right side
    219,519.64x = 38,492,470,517.95
  5. Step 5: Solve for x
    x = 38,492,470,517.95/219,519.64
  6. Step 6: Final answer
    x = 175,348.64

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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.