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Finding the Fourth Proportional to 282,974.34, 423,751.74 and 169,051.92

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Solution

The fourth proportional to 282,974.34, 423,751.74 and 169,051.92 is: 253,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,974.34 : 423,751.74 = 169,051.92 : x
  2. Step 2: Convert to fraction form
    282,974.34/423,751.74 = 169,051.92/x
  3. Step 3: Cross multiply
    282,974.34x = 423,751.74 × 169,051.92
  4. Step 4: Simplify right side
    282,974.34x = 71,636,045,250.34
  5. Step 5: Solve for x
    x = 71,636,045,250.34/282,974.34
  6. Step 6: Final answer
    x = 253,153.86

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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.