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Finding the Fourth Proportional to 144,531.89, 199,405.57 and 84,089.59

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Solution

The fourth proportional to 144,531.89, 199,405.57 and 84,089.59 is: 116,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,531.89 : 199,405.57 = 84,089.59 : x
  2. Step 2: Convert to fraction form
    144,531.89/199,405.57 = 84,089.59/x
  3. Step 3: Cross multiply
    144,531.89x = 199,405.57 × 84,089.59
  4. Step 4: Simplify right side
    144,531.89x = 16,767,933,432.10
  5. Step 5: Solve for x
    x = 16,767,933,432.10/144,531.89
  6. Step 6: Final answer
    x = 116,015.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.