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Finding the Fourth Proportional to 208,051.40, 312,077.10 and 205,977.80

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Solution

The fourth proportional to 208,051.40, 312,077.10 and 205,977.80 is: 308,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.40 : 312,077.10 = 205,977.80 : x
  2. Step 2: Convert to fraction form
    208,051.40/312,077.10 = 205,977.80/x
  3. Step 3: Cross multiply
    208,051.40x = 312,077.10 × 205,977.80
  4. Step 4: Simplify right side
    208,051.40x = 64,280,954,488.38
  5. Step 5: Solve for x
    x = 64,280,954,488.38/208,051.40
  6. Step 6: Final answer
    x = 308,966.70

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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.