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Finding the Fourth Proportional to 120,156.84, 180,344.21 and 64,044.09

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Solution

The fourth proportional to 120,156.84, 180,344.21 and 64,044.09 is: 96,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.84 : 180,344.21 = 64,044.09 : x
  2. Step 2: Convert to fraction form
    120,156.84/180,344.21 = 64,044.09/x
  3. Step 3: Cross multiply
    120,156.84x = 180,344.21 × 64,044.09
  4. Step 4: Simplify right side
    120,156.84x = 11,549,980,496.00
  5. Step 5: Solve for x
    x = 11,549,980,496.00/120,156.84
  6. Step 6: Final answer
    x = 96,124.20

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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.