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Finding the Fourth Proportional to 202,712.95, 279,761.07 and 117,824.50

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Solution

The fourth proportional to 202,712.95, 279,761.07 and 117,824.50 is: 162,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712.95 : 279,761.07 = 117,824.50 : x
  2. Step 2: Convert to fraction form
    202,712.95/279,761.07 = 117,824.50/x
  3. Step 3: Cross multiply
    202,712.95x = 279,761.07 × 117,824.50
  4. Step 4: Simplify right side
    202,712.95x = 32,962,708,192.22
  5. Step 5: Solve for x
    x = 32,962,708,192.22/202,712.95
  6. Step 6: Final answer
    x = 162,607.81

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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.