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Finding the Fourth Proportional to 181,858.53, 250,972.53 and 101,286.06

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Solution

The fourth proportional to 181,858.53, 250,972.53 and 101,286.06 is: 139,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,858.53 : 250,972.53 = 101,286.06 : x
  2. Step 2: Convert to fraction form
    181,858.53/250,972.53 = 101,286.06/x
  3. Step 3: Cross multiply
    181,858.53x = 250,972.53 × 101,286.06
  4. Step 4: Simplify right side
    181,858.53x = 25,420,018,731.93
  5. Step 5: Solve for x
    x = 25,420,018,731.93/181,858.53
  6. Step 6: Final answer
    x = 139,779.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.