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Finding the Fourth Proportional to 202,750, 279,783.71 and 112,100.52

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Solution

The fourth proportional to 202,750, 279,783.71 and 112,100.52 is: 154,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,750 : 279,783.71 = 112,100.52 : x
  2. Step 2: Convert to fraction form
    202,750/279,783.71 = 112,100.52/x
  3. Step 3: Cross multiply
    202,750x = 279,783.71 × 112,100.52
  4. Step 4: Simplify right side
    202,750x = 31,363,898,818.03
  5. Step 5: Solve for x
    x = 31,363,898,818.03/202,750
  6. Step 6: Final answer
    x = 154,692.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.