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Finding the Fourth Proportional to 132,522.84, 182,881.44 and 75,967.02

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Solution

The fourth proportional to 132,522.84, 182,881.44 and 75,967.02 is: 104,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,522.84 : 182,881.44 = 75,967.02 : x
  2. Step 2: Convert to fraction form
    132,522.84/182,881.44 = 75,967.02/x
  3. Step 3: Cross multiply
    132,522.84x = 182,881.44 × 75,967.02
  4. Step 4: Simplify right side
    132,522.84x = 13,892,958,010.11
  5. Step 5: Solve for x
    x = 13,892,958,010.11/132,522.84
  6. Step 6: Final answer
    x = 104,834.44

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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.