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Finding the Fourth Proportional to 265,088.60, 365,826.02 and 144,229.96

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Solution

The fourth proportional to 265,088.60, 365,826.02 and 144,229.96 is: 199,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.60 : 365,826.02 = 144,229.96 : x
  2. Step 2: Convert to fraction form
    265,088.60/365,826.02 = 144,229.96/x
  3. Step 3: Cross multiply
    265,088.60x = 365,826.02 × 144,229.96
  4. Step 4: Simplify right side
    265,088.60x = 52,763,072,231.56
  5. Step 5: Solve for x
    x = 52,763,072,231.56/265,088.60
  6. Step 6: Final answer
    x = 199,039.39

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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.