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Finding the Fourth Proportional to 114,705.42, 172,146.54 and 57,837.42

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Solution

The fourth proportional to 114,705.42, 172,146.54 and 57,837.42 is: 86,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705.42 : 172,146.54 = 57,837.42 : x
  2. Step 2: Convert to fraction form
    114,705.42/172,146.54 = 57,837.42/x
  3. Step 3: Cross multiply
    114,705.42x = 172,146.54 × 57,837.42
  4. Step 4: Simplify right side
    114,705.42x = 9,956,511,735.53
  5. Step 5: Solve for x
    x = 9,956,511,735.53/114,705.42
  6. Step 6: Final answer
    x = 86,800.71

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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.