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Finding the Fourth Proportional to 289,019.30, 433,356.15 and 149,051.30

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Solution

The fourth proportional to 289,019.30, 433,356.15 and 149,051.30 is: 223,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.30 : 433,356.15 = 149,051.30 : x
  2. Step 2: Convert to fraction form
    289,019.30/433,356.15 = 149,051.30/x
  3. Step 3: Cross multiply
    289,019.30x = 433,356.15 × 149,051.30
  4. Step 4: Simplify right side
    289,019.30x = 64,592,297,520.50
  5. Step 5: Solve for x
    x = 64,592,297,520.50/289,019.30
  6. Step 6: Final answer
    x = 223,487.83

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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.