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Finding the Fourth Proportional to 181,731, 272,598.96 and 57,072

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Solution

The fourth proportional to 181,731, 272,598.96 and 57,072 is: 85,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,731 : 272,598.96 = 57,072 : x
  2. Step 2: Convert to fraction form
    181,731/272,598.96 = 57,072/x
  3. Step 3: Cross multiply
    181,731x = 272,598.96 × 57,072
  4. Step 4: Simplify right side
    181,731x = 15,557,767,845.12
  5. Step 5: Solve for x
    x = 15,557,767,845.12/181,731
  6. Step 6: Final answer
    x = 85,608.77

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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.