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Finding the Fourth Proportional to 120,051.60, 165,671.64 and 65,603.76

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Solution

The fourth proportional to 120,051.60, 165,671.64 and 65,603.76 is: 90,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051.60 : 165,671.64 = 65,603.76 : x
  2. Step 2: Convert to fraction form
    120,051.60/165,671.64 = 65,603.76/x
  3. Step 3: Cross multiply
    120,051.60x = 165,671.64 × 65,603.76
  4. Step 4: Simplify right side
    120,051.60x = 10,868,682,509.37
  5. Step 5: Solve for x
    x = 10,868,682,509.37/120,051.60
  6. Step 6: Final answer
    x = 90,533.42

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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.