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Finding the Fourth Proportional to 183,490, 275,281.24 and 52,162

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Solution

The fourth proportional to 183,490, 275,281.24 and 52,162 is: 78,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,490 : 275,281.24 = 52,162 : x
  2. Step 2: Convert to fraction form
    183,490/275,281.24 = 52,162/x
  3. Step 3: Cross multiply
    183,490x = 275,281.24 × 52,162
  4. Step 4: Simplify right side
    183,490x = 14,359,220,040.88
  5. Step 5: Solve for x
    x = 14,359,220,040.88/183,490
  6. Step 6: Final answer
    x = 78,256.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.