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Finding the Fourth Proportional to 211,513.20, 316,646.46 and 185,269.20

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Solution

The fourth proportional to 211,513.20, 316,646.46 and 185,269.20 is: 277,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,513.20 : 316,646.46 = 185,269.20 : x
  2. Step 2: Convert to fraction form
    211,513.20/316,646.46 = 185,269.20/x
  3. Step 3: Cross multiply
    211,513.20x = 316,646.46 × 185,269.20
  4. Step 4: Simplify right side
    211,513.20x = 58,664,836,327.03
  5. Step 5: Solve for x
    x = 58,664,836,327.03/211,513.20
  6. Step 6: Final answer
    x = 277,357.80

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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.