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Finding the Fourth Proportional to 169,460.44, 233,855.50 and 94,009

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Solution

The fourth proportional to 169,460.44, 233,855.50 and 94,009 is: 129,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,460.44 : 233,855.50 = 94,009 : x
  2. Step 2: Convert to fraction form
    169,460.44/233,855.50 = 94,009/x
  3. Step 3: Cross multiply
    169,460.44x = 233,855.50 × 94,009
  4. Step 4: Simplify right side
    169,460.44x = 21,984,521,699.50
  5. Step 5: Solve for x
    x = 21,984,521,699.50/169,460.44
  6. Step 6: Final answer
    x = 129,732.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.