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Finding the Fourth Proportional to 273,316.38, 410,101.11 and 104,780.34

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Solution

The fourth proportional to 273,316.38, 410,101.11 and 104,780.34 is: 157,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,316.38 : 410,101.11 = 104,780.34 : x
  2. Step 2: Convert to fraction form
    273,316.38/410,101.11 = 104,780.34/x
  3. Step 3: Cross multiply
    273,316.38x = 410,101.11 × 104,780.34
  4. Step 4: Simplify right side
    273,316.38x = 42,970,533,740.18
  5. Step 5: Solve for x
    x = 42,970,533,740.18/273,316.38
  6. Step 6: Final answer
    x = 157,219.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.