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Finding the Fourth Proportional to 219,562.32, 302,996.28 and 118,960.32

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Solution

The fourth proportional to 219,562.32, 302,996.28 and 118,960.32 is: 164,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,562.32 : 302,996.28 = 118,960.32 : x
  2. Step 2: Convert to fraction form
    219,562.32/302,996.28 = 118,960.32/x
  3. Step 3: Cross multiply
    219,562.32x = 302,996.28 × 118,960.32
  4. Step 4: Simplify right side
    219,562.32x = 36,044,534,427.61
  5. Step 5: Solve for x
    x = 36,044,534,427.61/219,562.32
  6. Step 6: Final answer
    x = 164,165.39

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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.