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Finding the Fourth Proportional to 275,501.60, 412,742.10 and 156,820.40

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Solution

The fourth proportional to 275,501.60, 412,742.10 and 156,820.40 is: 234,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,501.60 : 412,742.10 = 156,820.40 : x
  2. Step 2: Convert to fraction form
    275,501.60/412,742.10 = 156,820.40/x
  3. Step 3: Cross multiply
    275,501.60x = 412,742.10 × 156,820.40
  4. Step 4: Simplify right side
    275,501.60x = 64,726,381,218.84
  5. Step 5: Solve for x
    x = 64,726,381,218.84/275,501.60
  6. Step 6: Final answer
    x = 234,940.13

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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.