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Finding the Fourth Proportional to 282,498.26, 423,809.80 and 92,950.97

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Solution

The fourth proportional to 282,498.26, 423,809.80 and 92,950.97 is: 139,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,498.26 : 423,809.80 = 92,950.97 : x
  2. Step 2: Convert to fraction form
    282,498.26/423,809.80 = 92,950.97/x
  3. Step 3: Cross multiply
    282,498.26x = 423,809.80 × 92,950.97
  4. Step 4: Simplify right side
    282,498.26x = 39,393,529,654.08
  5. Step 5: Solve for x
    x = 39,393,529,654.08/282,498.26
  6. Step 6: Final answer
    x = 139,446.98

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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.