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Finding the Fourth Proportional to 134,541, 201,828.24 and 45,787.68

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Solution

The fourth proportional to 134,541, 201,828.24 and 45,787.68 is: 68,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,541 : 201,828.24 = 45,787.68 : x
  2. Step 2: Convert to fraction form
    134,541/201,828.24 = 45,787.68/x
  3. Step 3: Cross multiply
    134,541x = 201,828.24 × 45,787.68
  4. Step 4: Simplify right side
    134,541x = 9,241,246,868.08
  5. Step 5: Solve for x
    x = 9,241,246,868.08/134,541
  6. Step 6: Final answer
    x = 68,687.22

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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.