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Finding the Fourth Proportional to 130,423.98, 195,619.62 and 41,670.12

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Solution

The fourth proportional to 130,423.98, 195,619.62 and 41,670.12 is: 62,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,423.98 : 195,619.62 = 41,670.12 : x
  2. Step 2: Convert to fraction form
    130,423.98/195,619.62 = 41,670.12/x
  3. Step 3: Cross multiply
    130,423.98x = 195,619.62 × 41,670.12
  4. Step 4: Simplify right side
    130,423.98x = 8,151,493,039.75
  5. Step 5: Solve for x
    x = 8,151,493,039.75/130,423.98
  6. Step 6: Final answer
    x = 62,499.96

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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.