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Finding the Fourth Proportional to 219,166, 302,449.44 and 118,564

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Solution

The fourth proportional to 219,166, 302,449.44 and 118,564 is: 163,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,166 : 302,449.44 = 118,564 : x
  2. Step 2: Convert to fraction form
    219,166/302,449.44 = 118,564/x
  3. Step 3: Cross multiply
    219,166x = 302,449.44 × 118,564
  4. Step 4: Simplify right side
    219,166x = 35,859,615,404.16
  5. Step 5: Solve for x
    x = 35,859,615,404.16/219,166
  6. Step 6: Final answer
    x = 163,618.51

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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.