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Finding the Fourth Proportional to 120,243.29, 165,790.40 and 97,297.20

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Solution

The fourth proportional to 120,243.29, 165,790.40 and 97,297.20 is: 134,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243.29 : 165,790.40 = 97,297.20 : x
  2. Step 2: Convert to fraction form
    120,243.29/165,790.40 = 97,297.20/x
  3. Step 3: Cross multiply
    120,243.29x = 165,790.40 × 97,297.20
  4. Step 4: Simplify right side
    120,243.29x = 16,130,941,220.39
  5. Step 5: Solve for x
    x = 16,130,941,220.39/120,243.29
  6. Step 6: Final answer
    x = 134,152.53

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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.