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Finding the Fourth Proportional to 202,026.87, 303,038.29 and 77,367.87

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Solution

The fourth proportional to 202,026.87, 303,038.29 and 77,367.87 is: 116,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,026.87 : 303,038.29 = 77,367.87 : x
  2. Step 2: Convert to fraction form
    202,026.87/303,038.29 = 77,367.87/x
  3. Step 3: Cross multiply
    202,026.87x = 303,038.29 × 77,367.87
  4. Step 4: Simplify right side
    202,026.87x = 23,445,427,025.74
  5. Step 5: Solve for x
    x = 23,445,427,025.74/202,026.87
  6. Step 6: Final answer
    x = 116,051.03

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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.