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Finding the Fourth Proportional to 182,665.47, 274,024.02 and 56,316

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Solution

The fourth proportional to 182,665.47, 274,024.02 and 56,316 is: 84,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,665.47 : 274,024.02 = 56,316 : x
  2. Step 2: Convert to fraction form
    182,665.47/274,024.02 = 56,316/x
  3. Step 3: Cross multiply
    182,665.47x = 274,024.02 × 56,316
  4. Step 4: Simplify right side
    182,665.47x = 15,431,936,710.32
  5. Step 5: Solve for x
    x = 15,431,936,710.32/182,665.47
  6. Step 6: Final answer
    x = 84,481.96

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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.