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Finding the Fourth Proportional to 133,406.94, 200,156.49 and 50,347.74

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Solution

The fourth proportional to 133,406.94, 200,156.49 and 50,347.74 is: 75,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.94 : 200,156.49 = 50,347.74 : x
  2. Step 2: Convert to fraction form
    133,406.94/200,156.49 = 50,347.74/x
  3. Step 3: Cross multiply
    133,406.94x = 200,156.49 × 50,347.74
  4. Step 4: Simplify right side
    133,406.94x = 10,077,426,917.83
  5. Step 5: Solve for x
    x = 10,077,426,917.83/133,406.94
  6. Step 6: Final answer
    x = 75,539.00

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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.