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Finding the Fourth Proportional to 132,190, 182,420.76 and 71,762.80

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Solution

The fourth proportional to 132,190, 182,420.76 and 71,762.80 is: 99,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,190 : 182,420.76 = 71,762.80 : x
  2. Step 2: Convert to fraction form
    132,190/182,420.76 = 71,762.80/x
  3. Step 3: Cross multiply
    132,190x = 182,420.76 × 71,762.80
  4. Step 4: Simplify right side
    132,190x = 13,091,024,515.73
  5. Step 5: Solve for x
    x = 13,091,024,515.73/132,190
  6. Step 6: Final answer
    x = 99,031.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.