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Finding the Fourth Proportional to 264,892.24, 365,543.31 and 144,033.76

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Solution

The fourth proportional to 264,892.24, 365,543.31 and 144,033.76 is: 198,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,892.24 : 365,543.31 = 144,033.76 : x
  2. Step 2: Convert to fraction form
    264,892.24/365,543.31 = 144,033.76/x
  3. Step 3: Cross multiply
    264,892.24x = 365,543.31 × 144,033.76
  4. Step 4: Simplify right side
    264,892.24x = 52,650,577,382.15
  5. Step 5: Solve for x
    x = 52,650,577,382.15/264,892.24
  6. Step 6: Final answer
    x = 198,762.25

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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.