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Finding the Fourth Proportional to 100,490.32, 150,683.64 and 41,314.96

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Solution

The fourth proportional to 100,490.32, 150,683.64 and 41,314.96 is: 61,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490.32 : 150,683.64 = 41,314.96 : x
  2. Step 2: Convert to fraction form
    100,490.32/150,683.64 = 41,314.96/x
  3. Step 3: Cross multiply
    100,490.32x = 150,683.64 × 41,314.96
  4. Step 4: Simplify right side
    100,490.32x = 6,225,488,559.25
  5. Step 5: Solve for x
    x = 6,225,488,559.25/100,490.32
  6. Step 6: Final answer
    x = 61,951.13

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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.