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Finding the Fourth Proportional to 120,078.83, 165,710.02 and 65,632.55

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Solution

The fourth proportional to 120,078.83, 165,710.02 and 65,632.55 is: 90,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.83 : 165,710.02 = 65,632.55 : x
  2. Step 2: Convert to fraction form
    120,078.83/165,710.02 = 65,632.55/x
  3. Step 3: Cross multiply
    120,078.83x = 165,710.02 × 65,632.55
  4. Step 4: Simplify right side
    120,078.83x = 10,875,971,424.87
  5. Step 5: Solve for x
    x = 10,875,971,424.87/120,078.83
  6. Step 6: Final answer
    x = 90,573.60

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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.