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Finding the Fourth Proportional to 130,503.42, 195,724.50 and 73,601.93

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Solution

The fourth proportional to 130,503.42, 195,724.50 and 73,601.93 is: 110,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,503.42 : 195,724.50 = 73,601.93 : x
  2. Step 2: Convert to fraction form
    130,503.42/195,724.50 = 73,601.93/x
  3. Step 3: Cross multiply
    130,503.42x = 195,724.50 × 73,601.93
  4. Step 4: Simplify right side
    130,503.42x = 14,405,699,969.66
  5. Step 5: Solve for x
    x = 14,405,699,969.66/130,503.42
  6. Step 6: Final answer
    x = 110,385.61

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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.