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Finding the Fourth Proportional to 185,646.68, 277,839.30 and 114,614.54

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Solution

The fourth proportional to 185,646.68, 277,839.30 and 114,614.54 is: 171,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,646.68 : 277,839.30 = 114,614.54 : x
  2. Step 2: Convert to fraction form
    185,646.68/277,839.30 = 114,614.54/x
  3. Step 3: Cross multiply
    185,646.68x = 277,839.30 × 114,614.54
  4. Step 4: Simplify right side
    185,646.68x = 31,844,423,563.42
  5. Step 5: Solve for x
    x = 31,844,423,563.42/185,646.68
  6. Step 6: Final answer
    x = 171,532.42

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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.