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Finding the Fourth Proportional to 202,210.57, 303,026.82 and 148,480.98

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Solution

The fourth proportional to 202,210.57, 303,026.82 and 148,480.98 is: 222,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210.57 : 303,026.82 = 148,480.98 : x
  2. Step 2: Convert to fraction form
    202,210.57/303,026.82 = 148,480.98/x
  3. Step 3: Cross multiply
    202,210.57x = 303,026.82 × 148,480.98
  4. Step 4: Simplify right side
    202,210.57x = 44,993,719,199.88
  5. Step 5: Solve for x
    x = 44,993,719,199.88/202,210.57
  6. Step 6: Final answer
    x = 222,509.24

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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.