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Finding the Fourth Proportional to 289,404.65, 434,155.79 and 99,814.30

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Solution

The fourth proportional to 289,404.65, 434,155.79 and 99,814.30 is: 149,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,404.65 : 434,155.79 = 99,814.30 : x
  2. Step 2: Convert to fraction form
    289,404.65/434,155.79 = 99,814.30/x
  3. Step 3: Cross multiply
    289,404.65x = 434,155.79 × 99,814.30
  4. Step 4: Simplify right side
    289,404.65x = 43,334,956,269.80
  5. Step 5: Solve for x
    x = 43,334,956,269.80/289,404.65
  6. Step 6: Final answer
    x = 149,738.29

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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.