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Finding the Fourth Proportional to 208,701.80, 312,822.30 and 115,274.60

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Solution

The fourth proportional to 208,701.80, 312,822.30 and 115,274.60 is: 172,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,701.80 : 312,822.30 = 115,274.60 : x
  2. Step 2: Convert to fraction form
    208,701.80/312,822.30 = 115,274.60/x
  3. Step 3: Cross multiply
    208,701.80x = 312,822.30 × 115,274.60
  4. Step 4: Simplify right side
    208,701.80x = 36,060,465,503.58
  5. Step 5: Solve for x
    x = 36,060,465,503.58/208,701.80
  6. Step 6: Final answer
    x = 172,784.64

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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.