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Finding the Fourth Proportional to 177,419.56, 265,856.83 and 120,419.41

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Solution

The fourth proportional to 177,419.56, 265,856.83 and 120,419.41 is: 180,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,419.56 : 265,856.83 = 120,419.41 : x
  2. Step 2: Convert to fraction form
    177,419.56/265,856.83 = 120,419.41/x
  3. Step 3: Cross multiply
    177,419.56x = 265,856.83 × 120,419.41
  4. Step 4: Simplify right side
    177,419.56x = 32,014,320,681.69
  5. Step 5: Solve for x
    x = 32,014,320,681.69/177,419.56
  6. Step 6: Final answer
    x = 180,444.14

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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.