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Finding the Fourth Proportional to 118,408.14, 163,398.38 and 64,695

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Solution

The fourth proportional to 118,408.14, 163,398.38 and 64,695 is: 89,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408.14 : 163,398.38 = 64,695 : x
  2. Step 2: Convert to fraction form
    118,408.14/163,398.38 = 64,695/x
  3. Step 3: Cross multiply
    118,408.14x = 163,398.38 × 64,695
  4. Step 4: Simplify right side
    118,408.14x = 10,571,057,870.63
  5. Step 5: Solve for x
    x = 10,571,057,870.63/118,408.14
  6. Step 6: Final answer
    x = 89,276.45

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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.