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Finding the Fourth Proportional to 114,461.52, 171,739.52 and 61,809

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Solution

The fourth proportional to 114,461.52, 171,739.52 and 61,809 is: 92,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461.52 : 171,739.52 = 61,809 : x
  2. Step 2: Convert to fraction form
    114,461.52/171,739.52 = 61,809/x
  3. Step 3: Cross multiply
    114,461.52x = 171,739.52 × 61,809
  4. Step 4: Simplify right side
    114,461.52x = 10,615,047,991.68
  5. Step 5: Solve for x
    x = 10,615,047,991.68/114,461.52
  6. Step 6: Final answer
    x = 92,739.01

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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.