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Finding the Fourth Proportional to 264,663.28, 365,233.80 and 143,803.76

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Solution

The fourth proportional to 264,663.28, 365,233.80 and 143,803.76 is: 198,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,663.28 : 365,233.80 = 143,803.76 : x
  2. Step 2: Convert to fraction form
    264,663.28/365,233.80 = 143,803.76/x
  3. Step 3: Cross multiply
    264,663.28x = 365,233.80 × 143,803.76
  4. Step 4: Simplify right side
    264,663.28x = 52,521,993,719.09
  5. Step 5: Solve for x
    x = 52,521,993,719.09/264,663.28
  6. Step 6: Final answer
    x = 198,448.36

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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.