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Finding the Fourth Proportional to 169,257.84, 253,845 and 69,446.40

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Solution

The fourth proportional to 169,257.84, 253,845 and 69,446.40 is: 104,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,257.84 : 253,845 = 69,446.40 : x
  2. Step 2: Convert to fraction form
    169,257.84/253,845 = 69,446.40/x
  3. Step 3: Cross multiply
    169,257.84x = 253,845 × 69,446.40
  4. Step 4: Simplify right side
    169,257.84x = 17,628,621,408
  5. Step 5: Solve for x
    x = 17,628,621,408/169,257.84
  6. Step 6: Final answer
    x = 104,152.47

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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.