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Finding the Fourth Proportional to 140,036.56, 193,285.38 and 83,437

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Solution

The fourth proportional to 140,036.56, 193,285.38 and 83,437 is: 115,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,036.56 : 193,285.38 = 83,437 : x
  2. Step 2: Convert to fraction form
    140,036.56/193,285.38 = 83,437/x
  3. Step 3: Cross multiply
    140,036.56x = 193,285.38 × 83,437
  4. Step 4: Simplify right side
    140,036.56x = 16,127,152,251.06
  5. Step 5: Solve for x
    x = 16,127,152,251.06/140,036.56
  6. Step 6: Final answer
    x = 115,163.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.