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Finding the Fourth Proportional to 120,111.80, 165,752.46 and 72,391.46

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Solution

The fourth proportional to 120,111.80, 165,752.46 and 72,391.46 is: 99,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,111.80 : 165,752.46 = 72,391.46 : x
  2. Step 2: Convert to fraction form
    120,111.80/165,752.46 = 72,391.46/x
  3. Step 3: Cross multiply
    120,111.80x = 165,752.46 × 72,391.46
  4. Step 4: Simplify right side
    120,111.80x = 11,999,061,749.23
  5. Step 5: Solve for x
    x = 11,999,061,749.23/120,111.80
  6. Step 6: Final answer
    x = 99,899.11

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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.