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Finding the Fourth Proportional to 219,164, 302,446.68 and 118,562

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Solution

The fourth proportional to 219,164, 302,446.68 and 118,562 is: 163,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,164 : 302,446.68 = 118,562 : x
  2. Step 2: Convert to fraction form
    219,164/302,446.68 = 118,562/x
  3. Step 3: Cross multiply
    219,164x = 302,446.68 × 118,562
  4. Step 4: Simplify right side
    219,164x = 35,858,683,274.16
  5. Step 5: Solve for x
    x = 35,858,683,274.16/219,164
  6. Step 6: Final answer
    x = 163,615.75

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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.