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Finding the Fourth Proportional to 199,574.56, 275,415.48 and 117,905.50

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Solution

The fourth proportional to 199,574.56, 275,415.48 and 117,905.50 is: 162,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574.56 : 275,415.48 = 117,905.50 : x
  2. Step 2: Convert to fraction form
    199,574.56/275,415.48 = 117,905.50/x
  3. Step 3: Cross multiply
    199,574.56x = 275,415.48 × 117,905.50
  4. Step 4: Simplify right side
    199,574.56x = 32,472,999,877.14
  5. Step 5: Solve for x
    x = 32,472,999,877.14/199,574.56
  6. Step 6: Final answer
    x = 162,711.12

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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.