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Finding the Fourth Proportional to 120,088.17, 180,165.06 and 35,852.22

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Solution

The fourth proportional to 120,088.17, 180,165.06 and 35,852.22 is: 53,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.17 : 180,165.06 = 35,852.22 : x
  2. Step 2: Convert to fraction form
    120,088.17/180,165.06 = 35,852.22/x
  3. Step 3: Cross multiply
    120,088.17x = 180,165.06 × 35,852.22
  4. Step 4: Simplify right side
    120,088.17x = 6,459,317,367.43
  5. Step 5: Solve for x
    x = 6,459,317,367.43/120,088.17
  6. Step 6: Final answer
    x = 53,788.12

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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.