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Finding the Fourth Proportional to 264,470.16, 364,967.67 and 143,610.47

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Solution

The fourth proportional to 264,470.16, 364,967.67 and 143,610.47 is: 198,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,470.16 : 364,967.67 = 143,610.47 : x
  2. Step 2: Convert to fraction form
    264,470.16/364,967.67 = 143,610.47/x
  3. Step 3: Cross multiply
    264,470.16x = 364,967.67 × 143,610.47
  4. Step 4: Simplify right side
    264,470.16x = 52,413,178,623.50
  5. Step 5: Solve for x
    x = 52,413,178,623.50/264,470.16
  6. Step 6: Final answer
    x = 198,181.82

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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.