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Finding the Fourth Proportional to 107,564.74, 161,325.84 and 102,230.48

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Solution

The fourth proportional to 107,564.74, 161,325.84 and 102,230.48 is: 153,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,564.74 : 161,325.84 = 102,230.48 : x
  2. Step 2: Convert to fraction form
    107,564.74/161,325.84 = 102,230.48/x
  3. Step 3: Cross multiply
    107,564.74x = 161,325.84 × 102,230.48
  4. Step 4: Simplify right side
    107,564.74x = 16,492,418,059.60
  5. Step 5: Solve for x
    x = 16,492,418,059.60/107,564.74
  6. Step 6: Final answer
    x = 153,325.50

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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.