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Finding the Fourth Proportional to 117,090.92, 175,636.50 and 54,805.16

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Solution

The fourth proportional to 117,090.92, 175,636.50 and 54,805.16 is: 82,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,090.92 : 175,636.50 = 54,805.16 : x
  2. Step 2: Convert to fraction form
    117,090.92/175,636.50 = 54,805.16/x
  3. Step 3: Cross multiply
    117,090.92x = 175,636.50 × 54,805.16
  4. Step 4: Simplify right side
    117,090.92x = 9,625,786,484.34
  5. Step 5: Solve for x
    x = 9,625,786,484.34/117,090.92
  6. Step 6: Final answer
    x = 82,207.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.