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Finding the Fourth Proportional to 202,731.21, 279,740.48 and 116,657.46

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Solution

The fourth proportional to 202,731.21, 279,740.48 and 116,657.46 is: 160,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,731.21 : 279,740.48 = 116,657.46 : x
  2. Step 2: Convert to fraction form
    202,731.21/279,740.48 = 116,657.46/x
  3. Step 3: Cross multiply
    202,731.21x = 279,740.48 × 116,657.46
  4. Step 4: Simplify right side
    202,731.21x = 32,633,813,272.69
  5. Step 5: Solve for x
    x = 32,633,813,272.69/202,731.21
  6. Step 6: Final answer
    x = 160,970.84

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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.