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Finding the Fourth Proportional to 202,123, 303,054.90 and 83,875.96

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Solution

The fourth proportional to 202,123, 303,054.90 and 83,875.96 is: 125,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,123 : 303,054.90 = 83,875.96 : x
  2. Step 2: Convert to fraction form
    202,123/303,054.90 = 83,875.96/x
  3. Step 3: Cross multiply
    202,123x = 303,054.90 × 83,875.96
  4. Step 4: Simplify right side
    202,123x = 25,419,020,670.20
  5. Step 5: Solve for x
    x = 25,419,020,670.20/202,123
  6. Step 6: Final answer
    x = 125,760.16

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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.