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Finding the Fourth Proportional to 196,307.57, 270,862.42 and 114,598.74

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Solution

The fourth proportional to 196,307.57, 270,862.42 and 114,598.74 is: 158,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,307.57 : 270,862.42 = 114,598.74 : x
  2. Step 2: Convert to fraction form
    196,307.57/270,862.42 = 114,598.74/x
  3. Step 3: Cross multiply
    196,307.57x = 270,862.42 × 114,598.74
  4. Step 4: Simplify right side
    196,307.57x = 31,040,492,049.75
  5. Step 5: Solve for x
    x = 31,040,492,049.75/196,307.57
  6. Step 6: Final answer
    x = 158,121.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.