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Finding the Fourth Proportional to 183,428.60, 274,682.10 and 146,564.60

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Solution

The fourth proportional to 183,428.60, 274,682.10 and 146,564.60 is: 219,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,428.60 : 274,682.10 = 146,564.60 : x
  2. Step 2: Convert to fraction form
    183,428.60/274,682.10 = 146,564.60/x
  3. Step 3: Cross multiply
    183,428.60x = 274,682.10 × 146,564.60
  4. Step 4: Simplify right side
    183,428.60x = 40,258,672,113.66
  5. Step 5: Solve for x
    x = 40,258,672,113.66/183,428.60
  6. Step 6: Final answer
    x = 219,478.71

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Why These Related Problems?

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