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Finding the Fourth Proportional to 120,465.64, 180,905.82 and 65,100.52

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Solution

The fourth proportional to 120,465.64, 180,905.82 and 65,100.52 is: 97,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.64 : 180,905.82 = 65,100.52 : x
  2. Step 2: Convert to fraction form
    120,465.64/180,905.82 = 65,100.52/x
  3. Step 3: Cross multiply
    120,465.64x = 180,905.82 × 65,100.52
  4. Step 4: Simplify right side
    120,465.64x = 11,777,062,953.03
  5. Step 5: Solve for x
    x = 11,777,062,953.03/120,465.64
  6. Step 6: Final answer
    x = 97,762.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.