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Finding the Fourth Proportional to 132,370, 182,666.48 and 75,777.60

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Solution

The fourth proportional to 132,370, 182,666.48 and 75,777.60 is: 104,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,370 : 182,666.48 = 75,777.60 : x
  2. Step 2: Convert to fraction form
    132,370/182,666.48 = 75,777.60/x
  3. Step 3: Cross multiply
    132,370x = 182,666.48 × 75,777.60
  4. Step 4: Simplify right side
    132,370x = 13,842,027,454.85
  5. Step 5: Solve for x
    x = 13,842,027,454.85/132,370
  6. Step 6: Final answer
    x = 104,570.73

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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.