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Finding the Fourth Proportional to 264,693.28, 365,275.20 and 143,834.08

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Solution

The fourth proportional to 264,693.28, 365,275.20 and 143,834.08 is: 198,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,693.28 : 365,275.20 = 143,834.08 : x
  2. Step 2: Convert to fraction form
    264,693.28/365,275.20 = 143,834.08/x
  3. Step 3: Cross multiply
    264,693.28x = 365,275.20 × 143,834.08
  4. Step 4: Simplify right side
    264,693.28x = 52,539,022,338.82
  5. Step 5: Solve for x
    x = 52,539,022,338.82/264,693.28
  6. Step 6: Final answer
    x = 198,490.20

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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.