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Finding the Fourth Proportional to 219,264, 302,584.34 and 118,662

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Solution

The fourth proportional to 219,264, 302,584.34 and 118,662 is: 163,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,264 : 302,584.34 = 118,662 : x
  2. Step 2: Convert to fraction form
    219,264/302,584.34 = 118,662/x
  3. Step 3: Cross multiply
    219,264x = 302,584.34 × 118,662
  4. Step 4: Simplify right side
    219,264x = 35,905,262,953.08
  5. Step 5: Solve for x
    x = 35,905,262,953.08/219,264
  6. Step 6: Final answer
    x = 163,753.57

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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.