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Finding the Fourth Proportional to 120,166, 180,357.33 and 64,052.84

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Solution

The fourth proportional to 120,166, 180,357.33 and 64,052.84 is: 96,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,166 : 180,357.33 = 64,052.84 : x
  2. Step 2: Convert to fraction form
    120,166/180,357.33 = 64,052.84/x
  3. Step 3: Cross multiply
    120,166x = 180,357.33 × 64,052.84
  4. Step 4: Simplify right side
    120,166x = 11,552,399,201.32
  5. Step 5: Solve for x
    x = 11,552,399,201.32/120,166
  6. Step 6: Final answer
    x = 96,137.00

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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.