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Finding the Fourth Proportional to 118,496.10, 163,416.24 and 92,658

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Solution

The fourth proportional to 118,496.10, 163,416.24 and 92,658 is: 127,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,496.10 : 163,416.24 = 92,658 : x
  2. Step 2: Convert to fraction form
    118,496.10/163,416.24 = 92,658/x
  3. Step 3: Cross multiply
    118,496.10x = 163,416.24 × 92,658
  4. Step 4: Simplify right side
    118,496.10x = 15,141,821,965.92
  5. Step 5: Solve for x
    x = 15,141,821,965.92/118,496.10
  6. Step 6: Final answer
    x = 127,783.29

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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.