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Finding the Fourth Proportional to 264,470.83, 364,970.49 and 143,614.14

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Solution

The fourth proportional to 264,470.83, 364,970.49 and 143,614.14 is: 198,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,470.83 : 364,970.49 = 143,614.14 : x
  2. Step 2: Convert to fraction form
    264,470.83/364,970.49 = 143,614.14/x
  3. Step 3: Cross multiply
    264,470.83x = 364,970.49 × 143,614.14
  4. Step 4: Simplify right side
    264,470.83x = 52,414,922,670.91
  5. Step 5: Solve for x
    x = 52,414,922,670.91/264,470.83
  6. Step 6: Final answer
    x = 198,187.91

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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.