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Finding the Fourth Proportional to 145,809, 201,216.42 and 78,741

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Solution

The fourth proportional to 145,809, 201,216.42 and 78,741 is: 108,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,809 : 201,216.42 = 78,741 : x
  2. Step 2: Convert to fraction form
    145,809/201,216.42 = 78,741/x
  3. Step 3: Cross multiply
    145,809x = 201,216.42 × 78,741
  4. Step 4: Simplify right side
    145,809x = 15,843,982,127.22
  5. Step 5: Solve for x
    x = 15,843,982,127.22/145,809
  6. Step 6: Final answer
    x = 108,662.58

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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.