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Finding the Fourth Proportional to 132,180.30, 182,406.18 and 74,830.50

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Solution

The fourth proportional to 132,180.30, 182,406.18 and 74,830.50 is: 103,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180.30 : 182,406.18 = 74,830.50 : x
  2. Step 2: Convert to fraction form
    132,180.30/182,406.18 = 74,830.50/x
  3. Step 3: Cross multiply
    132,180.30x = 182,406.18 × 74,830.50
  4. Step 4: Simplify right side
    132,180.30x = 13,649,545,652.49
  5. Step 5: Solve for x
    x = 13,649,545,652.49/132,180.30
  6. Step 6: Final answer
    x = 103,264.60

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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.