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Finding the Fourth Proportional to 174,825.72, 241,223.34 and 102,214.62

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Solution

The fourth proportional to 174,825.72, 241,223.34 and 102,214.62 is: 141,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,825.72 : 241,223.34 = 102,214.62 : x
  2. Step 2: Convert to fraction form
    174,825.72/241,223.34 = 102,214.62/x
  3. Step 3: Cross multiply
    174,825.72x = 241,223.34 × 102,214.62
  4. Step 4: Simplify right side
    174,825.72x = 24,656,552,033.23
  5. Step 5: Solve for x
    x = 24,656,552,033.23/174,825.72
  6. Step 6: Final answer
    x = 141,035.04

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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.