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Finding the Fourth Proportional to 496,729.19, 745,100.63 and 141,743.11

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Solution

The fourth proportional to 496,729.19, 745,100.63 and 141,743.11 is: 212,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,729.19 : 745,100.63 = 141,743.11 : x
  2. Step 2: Convert to fraction form
    496,729.19/745,100.63 = 141,743.11/x
  3. Step 3: Cross multiply
    496,729.19x = 745,100.63 × 141,743.11
  4. Step 4: Simplify right side
    496,729.19x = 105,612,876,124.94
  5. Step 5: Solve for x
    x = 105,612,876,124.94/496,729.19
  6. Step 6: Final answer
    x = 212,616.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.