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Finding the Fourth Proportional to 132,144.41, 182,360.64 and 71,715.59

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Solution

The fourth proportional to 132,144.41, 182,360.64 and 71,715.59 is: 98,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,144.41 : 182,360.64 = 71,715.59 : x
  2. Step 2: Convert to fraction form
    132,144.41/182,360.64 = 71,715.59/x
  3. Step 3: Cross multiply
    132,144.41x = 182,360.64 × 71,715.59
  4. Step 4: Simplify right side
    132,144.41x = 13,078,100,890.38
  5. Step 5: Solve for x
    x = 13,078,100,890.38/132,144.41
  6. Step 6: Final answer
    x = 98,968.25

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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.