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Finding the Fourth Proportional to 105,090.83, 145,028.54 and 59,775.33

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Solution

The fourth proportional to 105,090.83, 145,028.54 and 59,775.33 is: 82,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.83 : 145,028.54 = 59,775.33 : x
  2. Step 2: Convert to fraction form
    105,090.83/145,028.54 = 59,775.33/x
  3. Step 3: Cross multiply
    105,090.83x = 145,028.54 × 59,775.33
  4. Step 4: Simplify right side
    105,090.83x = 8,669,128,837.92
  5. Step 5: Solve for x
    x = 8,669,128,837.92/105,090.83
  6. Step 6: Final answer
    x = 82,491.77

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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.