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Finding the Fourth Proportional to 199,312.60, 298,820.10 and 120,410.20

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Solution

The fourth proportional to 199,312.60, 298,820.10 and 120,410.20 is: 180,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,312.60 : 298,820.10 = 120,410.20 : x
  2. Step 2: Convert to fraction form
    199,312.60/298,820.10 = 120,410.20/x
  3. Step 3: Cross multiply
    199,312.60x = 298,820.10 × 120,410.20
  4. Step 4: Simplify right side
    199,312.60x = 35,980,988,005.02
  5. Step 5: Solve for x
    x = 35,980,988,005.02/199,312.60
  6. Step 6: Final answer
    x = 180,525.41

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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.