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Finding the Fourth Proportional to 289,089.66, 433,819.60 and 156,062.56

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Solution

The fourth proportional to 289,089.66, 433,819.60 and 156,062.56 is: 234,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,089.66 : 433,819.60 = 156,062.56 : x
  2. Step 2: Convert to fraction form
    289,089.66/433,819.60 = 156,062.56/x
  3. Step 3: Cross multiply
    289,089.66x = 433,819.60 × 156,062.56
  4. Step 4: Simplify right side
    289,089.66x = 67,702,997,354.18
  5. Step 5: Solve for x
    x = 67,702,997,354.18/289,089.66
  6. Step 6: Final answer
    x = 234,193.77

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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.