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Finding the Fourth Proportional to 381,816.48, 572,726.09 and 129,099.07

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Solution

The fourth proportional to 381,816.48, 572,726.09 and 129,099.07 is: 193,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,816.48 : 572,726.09 = 129,099.07 : x
  2. Step 2: Convert to fraction form
    381,816.48/572,726.09 = 129,099.07/x
  3. Step 3: Cross multiply
    381,816.48x = 572,726.09 × 129,099.07
  4. Step 4: Simplify right side
    381,816.48x = 73,938,403,400.81
  5. Step 5: Solve for x
    x = 73,938,403,400.81/381,816.48
  6. Step 6: Final answer
    x = 193,649.06

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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.