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Finding the Fourth Proportional to 132,090.80, 182,268.36 and 75,506

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Solution

The fourth proportional to 132,090.80, 182,268.36 and 75,506 is: 104,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,090.80 : 182,268.36 = 75,506 : x
  2. Step 2: Convert to fraction form
    132,090.80/182,268.36 = 75,506/x
  3. Step 3: Cross multiply
    132,090.80x = 182,268.36 × 75,506
  4. Step 4: Simplify right side
    132,090.80x = 13,762,354,790.16
  5. Step 5: Solve for x
    x = 13,762,354,790.16/132,090.80
  6. Step 6: Final answer
    x = 104,188.59

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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.