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Finding the Fourth Proportional to 137,575, 189,853.58 and 81,021.24

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Solution

The fourth proportional to 137,575, 189,853.58 and 81,021.24 is: 111,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575 : 189,853.58 = 81,021.24 : x
  2. Step 2: Convert to fraction form
    137,575/189,853.58 = 81,021.24/x
  3. Step 3: Cross multiply
    137,575x = 189,853.58 × 81,021.24
  4. Step 4: Simplify right side
    137,575x = 15,382,172,470.04
  5. Step 5: Solve for x
    x = 15,382,172,470.04/137,575
  6. Step 6: Final answer
    x = 111,809.36

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