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Finding the Fourth Proportional to 181,416.51, 271,994.72 and 85,299.93

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Solution

The fourth proportional to 181,416.51, 271,994.72 and 85,299.93 is: 127,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,416.51 : 271,994.72 = 85,299.93 : x
  2. Step 2: Convert to fraction form
    181,416.51/271,994.72 = 85,299.93/x
  3. Step 3: Cross multiply
    181,416.51x = 271,994.72 × 85,299.93
  4. Step 4: Simplify right side
    181,416.51x = 23,201,130,149.87
  5. Step 5: Solve for x
    x = 23,201,130,149.87/181,416.51
  6. Step 6: Final answer
    x = 127,888.75

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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.