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Finding the Fourth Proportional to 132,798.12, 199,197 and 61,681.80

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Solution

The fourth proportional to 132,798.12, 199,197 and 61,681.80 is: 92,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,798.12 : 199,197 = 61,681.80 : x
  2. Step 2: Convert to fraction form
    132,798.12/199,197 = 61,681.80/x
  3. Step 3: Cross multiply
    132,798.12x = 199,197 × 61,681.80
  4. Step 4: Simplify right side
    132,798.12x = 12,286,829,514.60
  5. Step 5: Solve for x
    x = 12,286,829,514.60/132,798.12
  6. Step 6: Final answer
    x = 92,522.62

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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.