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Finding the Fourth Proportional to 134,162, 185,147.88 and 74,546

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Solution

The fourth proportional to 134,162, 185,147.88 and 74,546 is: 102,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,162 : 185,147.88 = 74,546 : x
  2. Step 2: Convert to fraction form
    134,162/185,147.88 = 74,546/x
  3. Step 3: Cross multiply
    134,162x = 185,147.88 × 74,546
  4. Step 4: Simplify right side
    134,162x = 13,802,033,862.48
  5. Step 5: Solve for x
    x = 13,802,033,862.48/134,162
  6. Step 6: Final answer
    x = 102,875.88

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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.