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Finding the Fourth Proportional to 208,090.10, 312,077.55 and 83,443.70

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Solution

The fourth proportional to 208,090.10, 312,077.55 and 83,443.70 is: 125,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.10 : 312,077.55 = 83,443.70 : x
  2. Step 2: Convert to fraction form
    208,090.10/312,077.55 = 83,443.70/x
  3. Step 3: Cross multiply
    208,090.10x = 312,077.55 × 83,443.70
  4. Step 4: Simplify right side
    208,090.10x = 26,040,905,458.94
  5. Step 5: Solve for x
    x = 26,040,905,458.94/208,090.10
  6. Step 6: Final answer
    x = 125,142.45

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1.5x scale

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.