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Finding the Fourth Proportional to 120,037.56, 165,629.16 and 72,294

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Solution

The fourth proportional to 120,037.56, 165,629.16 and 72,294 is: 99,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,037.56 : 165,629.16 = 72,294 : x
  2. Step 2: Convert to fraction form
    120,037.56/165,629.16 = 72,294/x
  3. Step 3: Cross multiply
    120,037.56x = 165,629.16 × 72,294
  4. Step 4: Simplify right side
    120,037.56x = 11,973,994,493.04
  5. Step 5: Solve for x
    x = 11,973,994,493.04/120,037.56
  6. Step 6: Final answer
    x = 99,752.07

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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.