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Finding the Fourth Proportional to 116,094.74, 174,083.78 and 53,808.98

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Solution

The fourth proportional to 116,094.74, 174,083.78 and 53,808.98 is: 80,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,094.74 : 174,083.78 = 53,808.98 : x
  2. Step 2: Convert to fraction form
    116,094.74/174,083.78 = 53,808.98/x
  3. Step 3: Cross multiply
    116,094.74x = 174,083.78 × 53,808.98
  4. Step 4: Simplify right side
    116,094.74x = 9,367,270,636.34
  5. Step 5: Solve for x
    x = 9,367,270,636.34/116,094.74
  6. Step 6: Final answer
    x = 80,686.43

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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.