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Finding the Fourth Proportional to 132,523.84, 198,808.09 and 61,417.64

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Solution

The fourth proportional to 132,523.84, 198,808.09 and 61,417.64 is: 92,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,523.84 : 198,808.09 = 61,417.64 : x
  2. Step 2: Convert to fraction form
    132,523.84/198,808.09 = 61,417.64/x
  3. Step 3: Cross multiply
    132,523.84x = 198,808.09 × 61,417.64
  4. Step 4: Simplify right side
    132,523.84x = 12,210,322,915.65
  5. Step 5: Solve for x
    x = 12,210,322,915.65/132,523.84
  6. Step 6: Final answer
    x = 92,136.80

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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.