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Finding the Fourth Proportional to 118,443, 163,451.34 and 65,451

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Solution

The fourth proportional to 118,443, 163,451.34 and 65,451 is: 90,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,443 : 163,451.34 = 65,451 : x
  2. Step 2: Convert to fraction form
    118,443/163,451.34 = 65,451/x
  3. Step 3: Cross multiply
    118,443x = 163,451.34 × 65,451
  4. Step 4: Simplify right side
    118,443x = 10,698,053,654.34
  5. Step 5: Solve for x
    x = 10,698,053,654.34/118,443
  6. Step 6: Final answer
    x = 90,322.38

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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.