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Finding the Fourth Proportional to 120,758.45, 181,188.97 and 64,584

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Solution

The fourth proportional to 120,758.45, 181,188.97 and 64,584 is: 96,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758.45 : 181,188.97 = 64,584 : x
  2. Step 2: Convert to fraction form
    120,758.45/181,188.97 = 64,584/x
  3. Step 3: Cross multiply
    120,758.45x = 181,188.97 × 64,584
  4. Step 4: Simplify right side
    120,758.45x = 11,701,908,277.02
  5. Step 5: Solve for x
    x = 11,701,908,277.02/120,758.45
  6. Step 6: Final answer
    x = 96,903.44

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