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Finding the Fourth Proportional to 219,566.34, 303,002.64 and 118,964.34

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Solution

The fourth proportional to 219,566.34, 303,002.64 and 118,964.34 is: 164,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,566.34 : 303,002.64 = 118,964.34 : x
  2. Step 2: Convert to fraction form
    219,566.34/303,002.64 = 118,964.34/x
  3. Step 3: Cross multiply
    219,566.34x = 303,002.64 × 118,964.34
  4. Step 4: Simplify right side
    219,566.34x = 36,046,509,085.86
  5. Step 5: Solve for x
    x = 36,046,509,085.86/219,566.34
  6. Step 6: Final answer
    x = 164,171.38

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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.