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Finding the Fourth Proportional to 169,205.89, 253,809.41 and 42,846.08

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Solution

The fourth proportional to 169,205.89, 253,809.41 and 42,846.08 is: 64,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205.89 : 253,809.41 = 42,846.08 : x
  2. Step 2: Convert to fraction form
    169,205.89/253,809.41 = 42,846.08/x
  3. Step 3: Cross multiply
    169,205.89x = 253,809.41 × 42,846.08
  4. Step 4: Simplify right side
    169,205.89x = 10,874,736,802.34
  5. Step 5: Solve for x
    x = 10,874,736,802.34/169,205.89
  6. Step 6: Final answer
    x = 64,269.26

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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.