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Finding the Fourth Proportional to 120,156.96, 180,233.46 and 35,917.32

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Solution

The fourth proportional to 120,156.96, 180,233.46 and 35,917.32 is: 53,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.96 : 180,233.46 = 35,917.32 : x
  2. Step 2: Convert to fraction form
    120,156.96/180,233.46 = 35,917.32/x
  3. Step 3: Cross multiply
    120,156.96x = 180,233.46 × 35,917.32
  4. Step 4: Simplify right side
    120,156.96x = 6,473,502,857.53
  5. Step 5: Solve for x
    x = 6,473,502,857.53/120,156.96
  6. Step 6: Final answer
    x = 53,875.39

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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.