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Finding the Fourth Proportional to 116,233.50, 174,350.25 and 28,681.50

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Solution

The fourth proportional to 116,233.50, 174,350.25 and 28,681.50 is: 43,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,233.50 : 174,350.25 = 28,681.50 : x
  2. Step 2: Convert to fraction form
    116,233.50/174,350.25 = 28,681.50/x
  3. Step 3: Cross multiply
    116,233.50x = 174,350.25 × 28,681.50
  4. Step 4: Simplify right side
    116,233.50x = 5,000,626,695.38
  5. Step 5: Solve for x
    x = 5,000,626,695.38/116,233.50
  6. Step 6: Final answer
    x = 43,022.25

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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.