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Finding the Fourth Proportional to 119,460.51, 164,786.94 and 74,670.75

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Solution

The fourth proportional to 119,460.51, 164,786.94 and 74,670.75 is: 103,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460.51 : 164,786.94 = 74,670.75 : x
  2. Step 2: Convert to fraction form
    119,460.51/164,786.94 = 74,670.75/x
  3. Step 3: Cross multiply
    119,460.51x = 164,786.94 × 74,670.75
  4. Step 4: Simplify right side
    119,460.51x = 12,304,764,400.01
  5. Step 5: Solve for x
    x = 12,304,764,400.01/119,460.51
  6. Step 6: Final answer
    x = 103,002.78

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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.