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Finding the Fourth Proportional to 100,658.03, 150,876.32 and 41,461.40

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Solution

The fourth proportional to 100,658.03, 150,876.32 and 41,461.40 is: 62,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.03 : 150,876.32 = 41,461.40 : x
  2. Step 2: Convert to fraction form
    100,658.03/150,876.32 = 41,461.40/x
  3. Step 3: Cross multiply
    100,658.03x = 150,876.32 × 41,461.40
  4. Step 4: Simplify right side
    100,658.03x = 6,255,543,246.74
  5. Step 5: Solve for x
    x = 6,255,543,246.74/100,658.03
  6. Step 6: Final answer
    x = 62,146.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.