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Finding the Fourth Proportional to 219,048.24, 302,286.36 and 118,446

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Solution

The fourth proportional to 219,048.24, 302,286.36 and 118,446 is: 163,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,048.24 : 302,286.36 = 118,446 : x
  2. Step 2: Convert to fraction form
    219,048.24/302,286.36 = 118,446/x
  3. Step 3: Cross multiply
    219,048.24x = 302,286.36 × 118,446
  4. Step 4: Simplify right side
    219,048.24x = 35,804,610,196.56
  5. Step 5: Solve for x
    x = 35,804,610,196.56/219,048.24
  6. Step 6: Final answer
    x = 163,455.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.