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Finding the Fourth Proportional to 120,005.16, 165,630.20 and 69,052.20

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Solution

The fourth proportional to 120,005.16, 165,630.20 and 69,052.20 is: 95,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.16 : 165,630.20 = 69,052.20 : x
  2. Step 2: Convert to fraction form
    120,005.16/165,630.20 = 69,052.20/x
  3. Step 3: Cross multiply
    120,005.16x = 165,630.20 × 69,052.20
  4. Step 4: Simplify right side
    120,005.16x = 11,437,129,696.44
  5. Step 5: Solve for x
    x = 11,437,129,696.44/120,005.16
  6. Step 6: Final answer
    x = 95,305.32

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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.