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Finding the Fourth Proportional to 270,948.40, 406,225.68 and 113,222

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Solution

The fourth proportional to 270,948.40, 406,225.68 and 113,222 is: 169,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,948.40 : 406,225.68 = 113,222 : x
  2. Step 2: Convert to fraction form
    270,948.40/406,225.68 = 113,222/x
  3. Step 3: Cross multiply
    270,948.40x = 406,225.68 × 113,222
  4. Step 4: Simplify right side
    270,948.40x = 45,993,683,940.96
  5. Step 5: Solve for x
    x = 45,993,683,940.96/270,948.40
  6. Step 6: Final answer
    x = 169,750.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.