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Finding the Fourth Proportional to 459,662.41, 689,491.32 and 118,105.53

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Solution

The fourth proportional to 459,662.41, 689,491.32 and 118,105.53 is: 177,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,662.41 : 689,491.32 = 118,105.53 : x
  2. Step 2: Convert to fraction form
    459,662.41/689,491.32 = 118,105.53/x
  3. Step 3: Cross multiply
    459,662.41x = 689,491.32 × 118,105.53
  4. Step 4: Simplify right side
    459,662.41x = 81,432,737,779.00
  5. Step 5: Solve for x
    x = 81,432,737,779.00/459,662.41
  6. Step 6: Final answer
    x = 177,157.71

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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.