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Finding the Fourth Proportional to 202,484.88, 303,511.50 and 152,410.14

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Solution

The fourth proportional to 202,484.88, 303,511.50 and 152,410.14 is: 228,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,484.88 : 303,511.50 = 152,410.14 : x
  2. Step 2: Convert to fraction form
    202,484.88/303,511.50 = 152,410.14/x
  3. Step 3: Cross multiply
    202,484.88x = 303,511.50 × 152,410.14
  4. Step 4: Simplify right side
    202,484.88x = 46,258,230,206.61
  5. Step 5: Solve for x
    x = 46,258,230,206.61/202,484.88
  6. Step 6: Final answer
    x = 228,452.76

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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.