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Finding the Fourth Proportional to 114,181.10, 171,288.05 and 35,301.48

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Solution

The fourth proportional to 114,181.10, 171,288.05 and 35,301.48 is: 52,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,181.10 : 171,288.05 = 35,301.48 : x
  2. Step 2: Convert to fraction form
    114,181.10/171,288.05 = 35,301.48/x
  3. Step 3: Cross multiply
    114,181.10x = 171,288.05 × 35,301.48
  4. Step 4: Simplify right side
    114,181.10x = 6,046,721,494.81
  5. Step 5: Solve for x
    x = 6,046,721,494.81/114,181.10
  6. Step 6: Final answer
    x = 52,957.29

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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.