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Finding the Fourth Proportional to 265,074.80, 365,804.10 and 144,216.05

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Solution

The fourth proportional to 265,074.80, 365,804.10 and 144,216.05 is: 199,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,074.80 : 365,804.10 = 144,216.05 : x
  2. Step 2: Convert to fraction form
    265,074.80/365,804.10 = 144,216.05/x
  3. Step 3: Cross multiply
    265,074.80x = 365,804.10 × 144,216.05
  4. Step 4: Simplify right side
    265,074.80x = 52,754,820,546.78
  5. Step 5: Solve for x
    x = 52,754,820,546.78/265,074.80
  6. Step 6: Final answer
    x = 199,018.62

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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.