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Finding the Fourth Proportional to 183,092.76, 274,678.32 and 56,730.20

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Solution

The fourth proportional to 183,092.76, 274,678.32 and 56,730.20 is: 85,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,092.76 : 274,678.32 = 56,730.20 : x
  2. Step 2: Convert to fraction form
    183,092.76/274,678.32 = 56,730.20/x
  3. Step 3: Cross multiply
    183,092.76x = 274,678.32 × 56,730.20
  4. Step 4: Simplify right side
    183,092.76x = 15,582,554,868.61
  5. Step 5: Solve for x
    x = 15,582,554,868.61/183,092.76
  6. Step 6: Final answer
    x = 85,107.43

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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.