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Finding the Fourth Proportional to 200,041.59, 275,614.34 and 131,938.41

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Solution

The fourth proportional to 200,041.59, 275,614.34 and 131,938.41 is: 181,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.59 : 275,614.34 = 131,938.41 : x
  2. Step 2: Convert to fraction form
    200,041.59/275,614.34 = 131,938.41/x
  3. Step 3: Cross multiply
    200,041.59x = 275,614.34 × 131,938.41
  4. Step 4: Simplify right side
    200,041.59x = 36,364,117,133.11
  5. Step 5: Solve for x
    x = 36,364,117,133.11/200,041.59
  6. Step 6: Final answer
    x = 181,782.78

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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.