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Finding the Fourth Proportional to 208,057.80, 312,086.70 and 158,291.40

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Solution

The fourth proportional to 208,057.80, 312,086.70 and 158,291.40 is: 237,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,057.80 : 312,086.70 = 158,291.40 : x
  2. Step 2: Convert to fraction form
    208,057.80/312,086.70 = 158,291.40/x
  3. Step 3: Cross multiply
    208,057.80x = 312,086.70 × 158,291.40
  4. Step 4: Simplify right side
    208,057.80x = 49,400,640,664.38
  5. Step 5: Solve for x
    x = 49,400,640,664.38/208,057.80
  6. Step 6: Final answer
    x = 237,437.10

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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.