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Finding the Fourth Proportional to 202,352.86, 303,292.95 and 152,272

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Solution

The fourth proportional to 202,352.86, 303,292.95 and 152,272 is: 228,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352.86 : 303,292.95 = 152,272 : x
  2. Step 2: Convert to fraction form
    202,352.86/303,292.95 = 152,272/x
  3. Step 3: Cross multiply
    202,352.86x = 303,292.95 × 152,272
  4. Step 4: Simplify right side
    202,352.86x = 46,183,024,082.40
  5. Step 5: Solve for x
    x = 46,183,024,082.40/202,352.86
  6. Step 6: Final answer
    x = 228,230.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.