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Finding the Fourth Proportional to 288,795.57, 433,085.49 and 99,202.11

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Solution

The fourth proportional to 288,795.57, 433,085.49 and 99,202.11 is: 148,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,795.57 : 433,085.49 = 99,202.11 : x
  2. Step 2: Convert to fraction form
    288,795.57/433,085.49 = 99,202.11/x
  3. Step 3: Cross multiply
    288,795.57x = 433,085.49 × 99,202.11
  4. Step 4: Simplify right side
    288,795.57x = 42,962,994,418.38
  5. Step 5: Solve for x
    x = 42,962,994,418.38/288,795.57
  6. Step 6: Final answer
    x = 148,766.11

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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.