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Finding the Fourth Proportional to 120,102.24, 165,751.32 and 69,798

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Solution

The fourth proportional to 120,102.24, 165,751.32 and 69,798 is: 96,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.24 : 165,751.32 = 69,798 : x
  2. Step 2: Convert to fraction form
    120,102.24/165,751.32 = 69,798/x
  3. Step 3: Cross multiply
    120,102.24x = 165,751.32 × 69,798
  4. Step 4: Simplify right side
    120,102.24x = 11,569,110,633.36
  5. Step 5: Solve for x
    x = 11,569,110,633.36/120,102.24
  6. Step 6: Final answer
    x = 96,327.18

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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.