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Finding the Fourth Proportional to 116,725.84, 174,808.10 and 66,654.16

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Solution

The fourth proportional to 116,725.84, 174,808.10 and 66,654.16 is: 99,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,725.84 : 174,808.10 = 66,654.16 : x
  2. Step 2: Convert to fraction form
    116,725.84/174,808.10 = 66,654.16/x
  3. Step 3: Cross multiply
    116,725.84x = 174,808.10 × 66,654.16
  4. Step 4: Simplify right side
    116,725.84x = 11,651,686,796.31
  5. Step 5: Solve for x
    x = 11,651,686,796.31/116,725.84
  6. Step 6: Final answer
    x = 99,820.97

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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.