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Finding the Fourth Proportional to 289,039.30, 433,537.35 and 120,516.10

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Solution

The fourth proportional to 289,039.30, 433,537.35 and 120,516.10 is: 180,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.30 : 433,537.35 = 120,516.10 : x
  2. Step 2: Convert to fraction form
    289,039.30/433,537.35 = 120,516.10/x
  3. Step 3: Cross multiply
    289,039.30x = 433,537.35 × 120,516.10
  4. Step 4: Simplify right side
    289,039.30x = 52,248,230,626.34
  5. Step 5: Solve for x
    x = 52,248,230,626.34/289,039.30
  6. Step 6: Final answer
    x = 180,765.14

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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.