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Finding the Fourth Proportional to 208,051.80, 312,077.70 and 193,306.20

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Solution

The fourth proportional to 208,051.80, 312,077.70 and 193,306.20 is: 289,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.80 : 312,077.70 = 193,306.20 : x
  2. Step 2: Convert to fraction form
    208,051.80/312,077.70 = 193,306.20/x
  3. Step 3: Cross multiply
    208,051.80x = 312,077.70 × 193,306.20
  4. Step 4: Simplify right side
    208,051.80x = 60,326,554,291.74
  5. Step 5: Solve for x
    x = 60,326,554,291.74/208,051.80
  6. Step 6: Final answer
    x = 289,959.30

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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.