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Finding the Fourth Proportional to 169,206.14, 253,809.78 and 42,846.32

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Solution

The fourth proportional to 169,206.14, 253,809.78 and 42,846.32 is: 64,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,206.14 : 253,809.78 = 42,846.32 : x
  2. Step 2: Convert to fraction form
    169,206.14/253,809.78 = 42,846.32/x
  3. Step 3: Cross multiply
    169,206.14x = 253,809.78 × 42,846.32
  4. Step 4: Simplify right side
    169,206.14x = 10,874,815,053.01
  5. Step 5: Solve for x
    x = 10,874,815,053.01/169,206.14
  6. Step 6: Final answer
    x = 64,269.62

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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.