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Finding the Fourth Proportional to 181,832.26, 272,792.40 and 61,888

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Solution

The fourth proportional to 181,832.26, 272,792.40 and 61,888 is: 92,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,832.26 : 272,792.40 = 61,888 : x
  2. Step 2: Convert to fraction form
    181,832.26/272,792.40 = 61,888/x
  3. Step 3: Cross multiply
    181,832.26x = 272,792.40 × 61,888
  4. Step 4: Simplify right side
    181,832.26x = 16,882,576,051.20
  5. Step 5: Solve for x
    x = 16,882,576,051.20/181,832.26
  6. Step 6: Final answer
    x = 92,846.98

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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.