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Finding the Fourth Proportional to 292,506.84, 438,726.24 and 82,162.80

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Solution

The fourth proportional to 292,506.84, 438,726.24 and 82,162.80 is: 123,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,506.84 : 438,726.24 = 82,162.80 : x
  2. Step 2: Convert to fraction form
    292,506.84/438,726.24 = 82,162.80/x
  3. Step 3: Cross multiply
    292,506.84x = 438,726.24 × 82,162.80
  4. Step 4: Simplify right side
    292,506.84x = 36,046,976,311.87
  5. Step 5: Solve for x
    x = 36,046,976,311.87/292,506.84
  6. Step 6: Final answer
    x = 123,234.64

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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.