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Finding the Fourth Proportional to 130,106.30, 195,026.50 and 73,827.53

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Solution

The fourth proportional to 130,106.30, 195,026.50 and 73,827.53 is: 110,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,106.30 : 195,026.50 = 73,827.53 : x
  2. Step 2: Convert to fraction form
    130,106.30/195,026.50 = 73,827.53/x
  3. Step 3: Cross multiply
    130,106.30x = 195,026.50 × 73,827.53
  4. Step 4: Simplify right side
    130,106.30x = 14,398,324,628.05
  5. Step 5: Solve for x
    x = 14,398,324,628.05/130,106.30
  6. Step 6: Final answer
    x = 110,665.86

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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.